I don't think Texas changes much in the SEC. They'll still find a way to win 7-8 games per year, but the fan base will be satisfied because wins are coming against SEC teams and they don't have to risk losing to Kansas and Iowa State anymore, not to mention all the "lesser" Texas schools.
They'll win 10ish games occasionally which is historically where they've been with exception to late 60s/early 70s and the 2000s.
Their brand has been pretty amazing considering how many marginal results they've had.