I don't think you are taking into account enough how far it is from Prague to CK, and how relatively isolated CK is. There are certainly other things to see in that area, but you have to research local bus service carefully. I recall that train is not the fastest way between Prague and CK, although it may be one of the cheaper.
It is a fair question whether CK is a "daytrip" from Prague. I would say that just as many posters here scorn CK for its intense tourism as praise its beauty. No one seems to like CK as much as they like (different country) Bruges, which is just as crowded 10AM to 5PM.
Another problem with a daytrip to CK is that English-language tours of the castle or the baroque theater can fill up quickly, and (pre-Covid, anyway) you had to buy them in person at the town ticket booth. I don't know about today. Clearly this is an outdoor recreation part of Czech Republic, so there might be non-sightseeing reasons for sleeping there.
Bottom line for me, the baroque theater was a must see, but that's a personal and professional interest. I thought the "castle" (mansion, really) is a bit over-rated. But the town is lovely, and the food better than in many "tourist" towns. We hired a car service recommended in Rick's book for an all-day runout from Prague, but that gets expensive.
They are not directly comparable (although they are wooden, rather than "stone" towns), but I wonder if you've been to Aarau, Switzerland, or Monschau, Germany?