Of course they do, but their lore often isn't involved with the main runs since they're very different from the rest. Streamer already planned for us to play Touhoumon and Moemon way before Randomized Alpha Sapphire and Colosseum were on his mind (Alpha Sapphire still hadn't been released when he planned on having TPP play through Touhoumon and Moemon). Everyone was tired of Kanto already, the timing of this run was awful, especially since everyone wanted to play another randomized run and Colosseum instead. And what was that run? Anniversary Red, which takes place in Kanto. The main problem here is that the previous run had been TPP's longest run. I won't disagree with this, of course it was Kanto all over again.
Now, let's see some of the main complaints. Think of this as if it were something like the thread Z33k33 made to talk about his opinions on Anniversary Crystal, except not as good. Maybe this will be helpful if we ever have another dual run so that people won't dislike them for the wrong reasons again or maybe just to bring up some nice discussion. So I was doing some research yesterday, reading threads from some Season 2 runs and I noticed that a lot of people were bashing Touhoumon and Moemon for the wrong reasons (well, I already knew of this, but I saw some people being clearly ignorant), so I decided to make this little post.