"Crazy" in the "I think this will hamstring the Dodgers' ability to build a competitive team" sense I understand as analysis, but I think is wrong given the financial situation of the Dodgers. Even if you think the current TV contracts are a bubble, the money seems to be guaranteed from the Dodgers' point of view.
"Crazy" in the "these kinds of contracts will affect small market teams' ability to sign players and therefore build competitive teams" sense is also wrong I think, since baseball despite not having a salary cap has a good amount of parity in outcomes. In the last five years, the following teams have made the playoffs:
Boston, Tampa, Detroit, Oakland, Cleveland, NYY, Baltimore, Texas, Minnesota, LAA
St Louis, LAD, Pittsburgh, Atlanta, Cincinnati, SF, Washington, Milwaukee, Arizona, Philly, Colorado
So 21 out of 30 (70%) franchises have seen postseason games in 5 seasons. (20 if you don't count Wild Card games.) Extend it back to 10 years and it's 25 out of 30 (Houston, CHC, CHW, San Diego). So the only 5 franchises who have been so bad that they didn't even make the playoffs in the last 10 seasons are: Miami (won it all in 2003), Seattle, Kansas City, the Mets, Toronto. Which is to say - the only team which can really play the "we didn't have success because we're a small market team" card is Kansas City.
As a comparison, the NFL has had the following record in the same period:
Denver, Atlanta, New England, San Francisco, Houston, Green Bay, Baltimore, Washington, Indianapolis, Seattle, Cincinnati, Minnesota, New Orleans, NYG, Pittsburgh, Detroit, Chicago, Philly, KC, NYJ, San Diego, Dallas, Arizona, Tennessee, Carolina, Miami.
Which is slightly higher (25 out of 32 or 78%) but on the other hand, NFL playoffs are larger with 12 teams getting in. If you compare rounds of 8 (divisional playoffs), the comparison becomes: 20 out of 30 in 5 years for baseball, or 18 out of 32 (56%) for football (Dallas, Minnesota, Arizona, New Orleans, NYJ, San Diego, Baltimore, Indianapolis, New England, Pittsburgh, Green Bay, Atlanta, Seattle, Chicago, NYG, San Francisco, Denver, Houston).
"Crazy" in the "no player should be paid $30 million because I just don't think people should get that kind of money" sense is just strange. Salary caps in the NFL don't seem to have translated into higher levels of parity, or lower prices for fans.