Is this not true of all other media?
Yeah, but all media would be a another thread and we can talk about that in the threads where it appears. We have had thread about the representation of women in games, about the overuse of comics tropes, etc. This thread is about a specific media. I'm not sure why people tend to bring this phrase into discussions.
True, fanservice isn't really the same thing, but wouldn't a lot of "true" moe essentially qualify as fanservice? It's still there to sexually please the viewer. Very possible to be put off by both while still understanding their differences.
You're conflating two different ideas here, though the OP admittedly does too.
The OPs real problem is that "moe" character designs and sexual fanservice are used with such frequency that they're frequently found in the same work. And others have chimed in - like your example with Freezing - that overuse of these tropes prevents them from consuming works they otherwise would've enjoyed.
From what I gather, K-On! is one of the flagship series for moe, and it's not about fanservice. You should really dissociate both, since there's nothing in common with them.
Correct, thought the fandom sometimes takes it in that direction. Fandom is going to fandom.
This is mainly why I dont like to use the term. That isnt what it means to me.
it just means cute to me. No sexual connotation. I think honestly it does have somewhat of one.
Part of that is due to the frequency of moe+fanservice. If someone is not a big fan of the medium, there is a prevalence of content that gets pushed in front of them. For example, superhero comics aren't all about this:
But the is an argument to be made that it's pushed to the forefront and can turn people off.
Anime is coming up on the same problem Big Two comics and Western animation has (Young Justice was cancelled because they expected young boys and got young to middle-aged women. Instead of pivoting on the merchandise to reach the different demographic, they gave up.) has "Do we sell hard on this same, small demographic? Or make moves to appeal to a wider audience?" I'm not directly in that business, so I can't answer that question.
Generally though, there's always good stuff to watch. There is a variety out there and it's only a few shows where I would've watched it if not for specific content. Most of them I can see from a mile away. Irregular was the last one that tripped me up.
Vast simplification, but whatever makes you feel superior.