This smells of Novus Ordo. I'd never ask pardon for those who obstinately refuse to believe, adore, hope and love Jesus Christ. We're not obligated to pray for their pardon. We're to pray for their conversion to God, for His greater glory, which would effect their salvation if they die in the state of grace, but if they refuse, let them die ugly for eternity.
Where does the prayer mention obstinacy?
Here's a similar prayer:
Eternal Father, since Thou hast given me for my inheritance the adorable Face of Thy Divine Son, I offer that face to Thee and I beg Thee, in exchange for this coin of infinite value, to forget the ingratitude of souls dedicated to Thee and to pardon all poor sinners.
-St. Therese of Lisieux
Also, here is an excerpt from St.Thomas'
Summa (reply to objection 3 is particularly pertinent):
Article 7. Whether we ought to pray for others?
Objection 1. It would seem that we ought not to
pray for others. On
praying we ought to conform to the pattern given by
our Lord. Now in the
Lord's Prayer we make petitions for ourselves, not for others; thus we say: "Give us this day our daily bread," etc. Therefore we should not
pray for others.
Objection 2. Further,
prayer is offered that it may be heard. Now one of the
conditions required for
prayer that it may be heard is that one
pray for oneself, wherefore
Augustine in
commenting on
John 16:23, "If you ask the Father anything in My name He will give it you," says (Tract. cii): "Everyone is heard when he
prays for himself, not when he
prays for all; wherefore He does not say simply 'He will give it,' but 'He will give it you. '" Therefore it would seem that we ought not to
pray for others, but only for ourselves.
Objection 3. Further, we are forbidden to
pray for others, if they are
wicked, according to
Jeremiah 7:16, "Therefore do not then
pray for this people . . . and do not withstand Me, for I will not hear thee." On the other hand we are not bound to
pray for the
good, since they are heard when they
pray for themselves. Therefore it would seem that we ought not to
pray for others.
On the contrary, It is written (
James 5:16): "Pray one for another, that you may be saved."
I answer that, As stated above (
Article 6), when we
pray we ought to ask for what we ought to desire. Now we ought to desire
good things not only for ourselves, but also for others: for this is
essential to the love which we owe to our neighbor, as stated above (
II-II:25:1 and
II-II:25:2;
II-II:27:2;
II-II:31:1). Therefore
charity requires us to
pray for others. Hence
Chrysostom says (Hom. xiv in Matth.) [Opus Imperfectum,
falsely ascribed to
St. John Chrysostom]: "
Necessity binds us to
pray for ourselves, fraternal
charity urges us to
pray for others: and the
prayer that fraternal
charity proffers is sweeter to
God than that which is the outcome of
necessity."
Reply to Objection 1. As
Cyprian says (De orat. Dom.), "We say 'Our Father' and not 'My Father,' 'Give us' and not 'Give me,' because the
Master of unity did not wish us to
pray privately, that is for ourselves alone, for He wished each one to
pray for all, even as He Himself bore all in one."
Reply to Objection 2. It is a
condition of
prayer that one
pray for oneself: not as though it were
necessary in order that
prayer be
meritorious, but as being
necessary in order that
prayer may not fail in its effect of impetration. For it sometimes happens that we
pray for another with piety and perseverance, and ask for things relating to his
salvation, and yet it is not granted on account of some obstacle on the part of the
person we are
praying for, according to
Jeremiah 15:1, "If
Moses and Samuel shall stand before Me, My
soul is not towards this people." And yet the
prayer will be
meritorious for the
person who
prays thus out of
charity, according to
Psalm 34:13, "My
prayer shall be turned into my bosom, i.e. though it profit them not, I am not deprived of my reward," as the
gloss expounds it.
Reply to Objection 3. We ought to
pray even for sinners, that they may be
converted, and for the just that they may persevere and advance in
holiness. Yet those who
pray are heard not for all sinners but for some: since they are heard for the predestined, but not for those who are foreknown to death; even as the correction whereby we correct the brethren, has an effect in the predestined but not in the reprobate, according to
Ecclesiastes 7:14, "No
man can correct whom
God hath despised." Hence it is written (
1 John 5:16): "He that
knoweth his brother to
sin a
sin which is not to death, let him ask, and life shall be given to him, who
sinneth not to death." Now just as the benefit of correction must not be refused to any
man so long as he lives here below, because we cannot distinguish the predestined from the reprobate, as
Augustine says (De Correp. et Grat. xv), so too no
man should be denied the help of
prayer.
We ought also to
pray for the just for three reasons: First, because the
prayers of a multitude are more easily heard, wherefore a
gloss on
Romans 15:30, "Help me in your
prayers," says: "The
Apostle rightly tells the lesser brethren to
pray for him, for many lesser ones, if they be united together in one mind, become great, and it is impossible for the
prayers of a multitude not to obtain" that which is possible to be obtained by
prayer. Secondly, that many may thank
God for the
graces conferred on the just, which
graces conduce to the profit of many, according to the
Apostle (
2 Corinthians 1:11). Thirdly, that the more perfect may not wax proud, seeing that they find that they need the
prayers of the less perfect.