Do you admit that BOD was exclusively and consistently taught post Trent?
1. The idea of BOD has been around both before and after Trent.
2. Was BOD "exclusively" taught post Trent? No.
a. (If you mean, there was a "common opinion" that it existed, somehow) then i'd say "probably".
3. Was BOD "consistently" held (i.e. was there agreement on the details of this doctrine?). Absolutely not.
Conclusion:
1. A "doctrinal teaching" by Church authority must necessarily require assent by all members of the Church, under pain of sin.
2. A "doctrinal teaching" must have some level of detailed explanation. In the case of sacraments/grace, there has to exist some explanation of the "process".
a. Who can receive the grace? When? How? Requirements? Etc.
b. There is 0% agreement on this type of detail.
3. A "common opinion" of theologians is not a teaching.
4. A "common opinion" which cannot trace its roots back to Apostolic teaching (i.e. Tradition) or Scripture is certainly not a teaching.
5. A "common opinion" which does not jive with an infallible council (Trent) could never be a teaching.
6. A "common opinion" which only agrees that a truth exists, but can't explain the details, is not a teaching.
7. A "common opinion" which continues to evolve over the decades/centuries, and which details have changed from the 1500s til now, is not a teaching.
BOD is, at best, a theory which has been held by many, agreed upon by some, and explained by no one.