Thus "increasingly" :)
• DS9 only had a little soap-opera drama, serving as almost a kind of fanservice sprinkled judiciously into otherwise-thematic B-plots.
• VOY had more, with entire B-plots of episodes now being character-focused, including a few arcs that would have worked just as well if transplanted into some modern-age military drama with no SF elements.
• Drama-as-the-A-plot episodes were appearing by ENT.
(After that I stopped watching, but I've heard the trend has just continued from there.)
The Lower Decks was good as a love letter to older fans, I do recommend that. But both Discovery and Academy were horrendous and I regret the time spent. Picard had a few good episodes and it was nice to see the old crew but was not great.
Stranger New Worlds had some good things and wasn't a butcher job but not anything to write home about in my opinion.
Strange New Worlds started strong. But the last couple of series was so bad for the drama. In fact one episode was a literal soap opera.
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