Sokay pal, heck I know about that draining college life myself.
So long as the character appeared in the Muppet Universe, then it gets counted, so long as it can be counted as part of the Muppet Universe.
Lemme explain. C-3PO and R2-D2 appeared on a few episodes of SS, so you'd think that would entitle them to be part of the Muppet Universe based on their appearances alone. But remember, that they belong to a character-created universe of their own, the Star Wars universe.
Now, as to celebrity guest stars, they're just that. Unless, some of them actually get casted for a specific part like what happened with Natalie Portman on SS Season 35.
The other point you bring is about TOTBP and JHH. From what I've learned here on the boards, TOTBP and TCT were both made to serve as kind of holiday-based specials to air as part of JHH. These wouldn't be episodes of JHH, but a series of specials with one for each holiday/month of the year associated with JHH. But of course, only the two were made and the idea was left at that. So, I think it's OK to have TOTBP as a JHH TV Movie. So then why wouldn't I count TCT as JHH also? Well, cause you've got the appearance of Kermit in TCT, which loosely connects it along with EO to TMS roots.
Hope this helps settle some of the confusion, hope to hear from you in the AM Depot, and have a good weekend.