No. 0.9 repeating literally = 1. On Wikipedia, it literally says "it's not nearly 1, or almost equal to 1, it is EXACTLY 1."

The sequence of increasing 9s converges to 1, which directly implies an infinite number of 9s = 1. Plus there are other proofs of the notion.

There are a lot of foundational maths built on the assumption that all single digit repeating decimals don't become infinitesimally close, but are indeed equal the asymptote.

A lot of calculus proofs would fail due to how critical summations and asymptotic behavior, if, as you suggest, 0.9 repeating doesn't equal 1.

This is similarly true of proofs that rely on the basic assumption that you cannot divide by zero. Many proofs wouldn't work without it.