Accountability for accuracy is desirable. But with strongmen leaders, "accountability in media" tends to be "toe the party line", regardless of accuracy.
Practically I don't think Trump would get very far with any sort of libel lawsuits. Even in Italy, Berlusconi's "sue into silence" strategy was not 100% effective -- and Berlusconi is a much more dominant player in comparative national medias than Trump is.
Even so, my gut feeling is that Trump would be perfectly okay with a Putin / Erdogan style strongman media takeover if he could get away with it.