I don't think that's true. Between Ohtani, Freeman, and Betts, the Dodgers are pushing a billion dollars (in today's dollars) in dead weight in the 2035-2045 timeframe.
Additionally, MLB salary inflation has slowed considerably in recent years and will likely continue to be slow moving forward since the era of lucrative RSN deals is pretty much over.
A top-5 payroll in 2010 was in the $150-$200M range. These days it is somewhere around $250M. In 10-15 years it might be $350M-$400M at most (assuming that big markets like LA can still extract $200M/year from their local TV rights, which is far from guaranteed).
So the Dodgers have potentially tied up nearly a quarter of their projected payroll in the late 2030s. That's not enough to make them a poverty franchise, but it would absolutely cause issues. Unless they are even richer than we think they are, which I guess is totally possible given their ridiculous TV contract.