I don't think so. They don't download. They may show on competitors' programs but they error out. You won't be able to download them, which I assume is why you are here.
Because they are not playable, no competitor can download them either.
Its by design.
I mean no disrespect when I ask this (even though it may come off disrespectful when typewritten) Have you used the competitor's product recently? Because they can find and download those episodes. Or am I misunderstanding what you are trying to say?
When I select series like Real Time or Last Week Tonight, I can download individual episodes or the full series in the competitors product (have been able to for over a year now). I just downloaded Last Week Tonight S09E18, S09E17, S09E16 yesterday. They still haven't fixed a bug in their decryption so downloading newer titles has been limited to 720p for a bit now, and that is why I am here. I paid for AnyStream Plus to have options. I switch back and forth as the need arises.
I can download them in AnyStream too, IF/When I can find them.
When using the competitor's product, the UI and look for HBOMax is exactly what I get when visiting HBOMax web site with Chrome on my pc, including the "featured" title they are hyping "today", my full watch list, the search works, etc. With AnyStream I see a different layout/UI. I don't see my full watch list, only partial, and as was said earlier, searching in AnyStream on HBOMax I can't always search by name, or partial name and find the results.
For example, if I go into AnyStream right now, search Last Week Tonight, I do not get any results.
Search the words Last, Week and Tonight, or even Oliver, individually, and *IF* the show is in the results, it took enough scrolling through the list that I gave up before I saw it. Oddly when I search on Oliver, The Firm comes up, because Oliver Platt is in it maybe?? On the competitor it does come up (3rd on the list) if I just enter LAST, just like when I use the HBOMax web site.
BUT You are right that they can't download "Extras", like the "Unrated Cut" of Sin City that appears as an "extra" when looking at the regular Sin City in a browser or the app on my Roku and Shield TV.