I don't mean to question your traditionalist bona fides, but some of this just doesn't sound right --- "valid from a human promise aspect", "God blessed them as fulfilling their natural vows" --- God does not bless people for sin. It's not "slightly better than cohabitating", it is cohabitating.
Here is how I have always understood it:
This is what I was taught:
* Catholic marries Catholic with canonical form - valid sacramental marriage. Correct
* Catholic marries Catholic outside of canonical form (outside of the emergency situation where a priest cannot be had for a month) - invalid I was taught this is a valid sacramental marriage, but it receives no blessing from the Church. It is not advised.
* Catholic marries non-Catholic Christian with canonical form - valid sacramental marriage incorrect. The sacrament passes from the catholic woman to rhe catholic man and vice versa. It cannot be recrived any other way. So in this instance, in order to have correct canonical form a dispensation would have had to have been given by the Church. The marriage would be blessed by the Church but no sacrament would be involved.
* Catholic marries non-Catholic Christian outside of canonical form - invalid correct
* Catholic marries non-Christian with canonical form (i.e., dispensation) - natural marriage but not sacramental same as above
* Catholic marries non-Christian outside of canonical form - invalid correct
* Two non-Catholic Christians marry - valid sacramental marriage incorrect
* Non-Catholic Christian marries non-Christian - natural marriage but not sacramental correct
* Two non-Christians marry - natural marriage but not sacramental (but if one spouse becomes a Catholic and the remaining non-Christian spouse will not live peaceably with them, the Catholic may remarry per the Pauline Privilege) not sure on this one.
If any of this is incorrect, please show me how.
From what I was taught, basically:
2 catholics with correct matter, form and intent = valid sacramental marriage
All other options for the Catholic and non-catholic alike, no sacrament is involved.
If a dispensation is granted the one Catholic to a mixed marriage, he can receive a blessing for his marriage and the Church recognizes it as valid.
All other options involving a Catholic are not valid within the Church.
Marriages of non-Catholics are valid.