Even Carranger had serious and dramatic scenes, and it was a parody.
This is true, although I'll point out that most of the time, Carranger almost immediately undercuts its serious, dramatic-shaped scenes with parody. The only story beats in the show presented with any real seriousness involve the characters' feelings.
That's one of the things that I feel makes Carranger really different even from other comedy Sentai, and it was one of the things a lot of people honestly hated about the show back in the day. If you liked Sentai for its blood and thunder, well, Carranger just wasn't ever going to do that.
That said, I can't see Kyoryuger taking its comedy as far as Carranger did. That's what Akibaranger is doing, there's no point in having the main franchise do it, too. Kyoryuger is probably going for a Kakuranger or Abaranger vibe, moving from silly to serious as the plot demands it.