Confused About "Max"

Hi, it's just that I think I must be confused about what "Max" is.  It appears that what most people call "Max On Demand" must be different from what we get with Xfinity when we get "Max" (and HBO).  Is that right?  If a movies is currently being streamed on "Max On Demand" that doesn't mean Xfinity customers who get Max gets those movies, I gues, right???  A friend recently recommended a movie to me for the holidays that she thought I would like, and it does sound interesting.  But when we both looked it up, we discovered that it is currently being streamed on "Max On Demand" but, when I look here under On Demand for premium movies with no ads, it doesn't show as being offered here.  So, our "Max" is somehow different from what someone who just gets "Max On Demand" directly from their streaming website, is that it?  Somehow they're different? 

The movie in question is called "8 Bit Christmas" (I think, memory sucks but I think that was the name of it.  We both looked it up, it said it was currently being streamed on "Max On Demand" and she asked if I got Max and I said yes... but the movies is not showing up under Max.  It shows up under a search on xfinity as being on demand from TBS (or maybe it was TNT I dunno memory again) but that includes commercials.  Max On Demand does not, but apparently we who get "Max" here don't really get "Max On Demand"?????  That's my question.

You may be right about the difference there, but to know for certain I can try and check on my end. Are you aware of whether you currently have the version of Max with or without ads?

Which version do I have?  I dunno, as the screenshot above shows, Max is "included" with my current TV plan.  You (Xfinity) should know better than I which version of Max people get when they get Max included with their TV plan.  If it matters, I'm pretty sure I have the highest "tier" of channel packages you sell (I think) and it includes several premium channels, such as Max/Hbo, Showtime, MGM+, along with Peacock Premium and Netflix (I think I get those because I'm marked as a "Diamond" customer or something like that.  

It's really confusing to me that you're asking me which version of Max I have, when it's your company that is providing whatever version of Max I have.  Do you not know what your customers get when they have Max "included" with their plan? 

Man, it seems I'm getting more confused.  I will include the screenshot, which I JUST NOW TOOK (circled the time/date on the screenshot lower right) and as you can see it clearly says it's currently streaming on Max.  I get "Max" but I can't seem to stream this movie through Max On Demand.  Can someone just explain to me why?