Could you be a little more obtuse?
I could. But if you need me to spell it out for you then so be it. For any authentic Christian tradition to be so it must possess a certain quality of sameness with apostolic tradition. This is the argument you put forth. Continuity with that which was. On the face of it, not a problem. We Catholics do the same.
The problem comes when the protestant interjects their notion of what is the 'same' into the equation. Sameness inherently means identical. Or, it means whatever the beholder of sameness determines. Which ultimately is a function of what end of the telescope one is looking through. So, unless the protestant is prepared to accept only that which is identical, particularly in scripture, then they must be prepared to eject all the solas which are not identical to what was expressed in scripture.
As for the rest. We've all heard the following phrase, "Men and women: equal in dignity, but not the same." Sacred Tradition and Sacred Scripture perform the same function. Equal in dignity but not the same. Two distinct phenomena. Complementary. That is how God operates. Sameness as a function of Truth is a fiction. No wonder nobody has been able to "prove" anything to you.