I'm no child psychologist, but I'd even tentatively argue it could be damaging.

I remember being a kid and seeing both: shows that tried to teach me, and shows that were entertaining. I remember even young-me rolling my eyes at "educational" shows. Sure, some were great, but most of the time, I'd rather watch the entertaining ones, because I didn't feel like they were pushing something onto me.

Once I got into school, I realized "oh, it's more of this educational crap". I clearly remember being skeptical of whatever they taught me, because, once again, it felt like they were pushing something onto me.

The same thing with games (video and non). I hated games that tried to teach me things. There was a clear contrast of quality between entertainment games, and learning games.