I know it's Clemson because of the paw print and reasons other than color. They have a fairly standard orange worn by other teams.
Texas I could guess when they're wearing burnt orange, yes.
I think if you ask any non-GT fan who the flagship school of "gold" is, they'll likely say Notre Dame. I'm not sure adding white to the mix will change the perception of the casual fan. In fact, I'm not sure many would confidently know of a 2nd team that calls gold their primary color, because yellow... maybe they'd say Army?
Look, I'm good with more gold, so I'm not arguing it. I just don't know that the colors resonate or will resonate with anyone unless we start winning big also. If we win big, we could wear green and pink then everyone will recognize us as GT.