> backdooring protocols is totally supported by evidence

It's important to be very precise.

I think you might be confusing backdooring specific pieces of software produced by RSA-the-company (specifically things using Dual EC_DRBG) with the RSA algorthim that company is named after, which is included in the CNSA.

Dual EC_DRBG was a bad algorithm which many people had serious doubts about from the start - and indeed it was backdoored by NSA. That is different to the algorithms in CNSA which (as I said earlier) are well regarded by the same security researchers.

There is no evidence (or serious claims) that the RSA-algorithm is backdoored.