A very interesting analysis from a non-SSPX POV...

http://www.remnantnewspaper.com/Archives/2013-0515-c-jackdon-sspx-confession-valid.htm

Are the SSPX Confessions Valid?

Chris Jackson    POSTED: 5/13/13

REMNANT COLUMNIST   

(www.RemnantNewspaper.com) Are absolutions given by Society of St. Pius X (SSPX) priests in the Sacrament of Penance valid?  If you search the internet you are bound to find very confident sounding answers to this question from various “experts.”  These answers are typically couched in most impressive canonical terms.  The reader is told that a priest has to have the proper “faculties” or “jurisdiction” to validly absolve.  Society priests, we are told, have neither. Thus, unless one is ignorant of this fact, one’s sins are not forgiven in this situation.
On the other hand, these same “experts” claim that heterodox priests in “full communion” with the Church and even Orthodox priests do have the power to validly absolve sins. Therefore, following the logic of these experts, Traditional Catholics would have an obligation to confess their sins to a heretical priest with faculties or to a non-Catholic priest with jurisdiction rather than a Society priest, if these were the only options. One such “expert” even went so far as to tell a reader that he may even commit a sin in confessing to a Society priest, as it would be participating in the simulation of a sacrament. Another “expert” told a questioner that his friend’s marriage before a Society priest was invalid and that he may not attend his friend’s wedding even as a guest.

In the end, these “experts” have no authority to decide for the faithful that the Society’s sacraments are invalid.  Only the Church can decide, in an official, public, and binding manner, that absolutions from Society priests are invalid. Indeed, the Church would have an obligation to make such a public declaration if a large number of faithful were truly imperiling their salvation through invalid confessions. To the contrary, Rome has made no such declaration. Although I personally do not attend an SSPX Chapel, I believe the evidence demonstrates that Society confessions are valid and that Rome recognizes, at least unofficially, this validity.

Read the rest here. Too long to post the whole thing.
 

Mithrandylan,

YES! Read the article. I didn't post the whole thing b/c it is very long, but it is also very good.