Star Trek has always had some silliness in it, just often in the 90s everyone had a stick up their ass and reacted to the silliness in the most dry and serious manner possible. Shows like SNW and Lower Decks are recognizing the silliness and are leaning into it, and are coming off all the better for it.
Besides even in a comedic episode like Those Old Scientists we still got some poignant and meaningful moments, like Chapel realizing her relationship with Spock may be doomed to fail or Mariner and Boimler convincing Pike to celebrate his birthday with friends for exactly the same reason he was planning on spending it alone. And I'm sure the musical episode in a few weeks will have some meaningful and poignant moments of its own, so the show definitely not "too silly." Star Trek is always silly, SNW is just self-aware enough to have fun about it.
Besides even in a comedic episode like Those Old Scientists we still got some poignant and meaningful moments, like Chapel realizing her relationship with Spock may be doomed to fail or Mariner and Boimler convincing Pike to celebrate his birthday with friends for exactly the same reason he was planning on spending it alone. And I'm sure the musical episode in a few weeks will have some meaningful and poignant moments of its own, so the show definitely not "too silly." Star Trek is always silly, SNW is just self-aware enough to have fun about it.