Here is a link to JellyNeo's article on the end of Flash: https://www.jellyneo.net/?go=end_of_flash_support
It lists some items that have been converted.
So...yes, that's why Neopets created the "mobile" site version. That's what Neopets will be, after 31 Dec 2020, when browsers stop supporting Flash. I don't believe they are planning on "to just do away with the stuff that's still flash based", but they did mention games that aren't popular/played a lot, may not make the conversion. And, I think converting to Flash is taking longer than they expected. (Reason for no Daily Dare or Games Master Challenge, this year). They have been working behind the scenes, but also mentioned changes they have made, which can only be seen by changing to the "mobile" site version. (Yes, I still stay on the "Classic" site, for now.) There have been numerous Neopian Times Editorials, in the past few years, about converting/moving away from Flash. I'm expecting some parts of Neopets to not work, after the New Year, but sure they will keep converting and releasing the updates, throughout 2021. (Well, hopeful, anyway).
I'm not a fan of the "mobile" site version, either, but, if it keeps Neopets on the 'Net, I guess I'll have to get used to it. At least it will be accessible from a desktop/laptop, phone or tablet.
I'm more concerned about the games. Not sure which games may not make the "cut", and, what I got from the Neopian Times Editorial (or it could have been from a Q&A Neopets had "offsite"), that they aren't going to let us know the "list" of not popular/played games, for now, so we can't try to make them "popular" again.
I have been trying "ruffle" - https://ruffle.rs/, a Flash emulator, with Firefox, and may use that, at the end of year/next year, if some parts of Neopets are still Flash based/stop working. I can view some parts of Neopets with it, like the Map of Neopia, but the games - not so much. It is still a "work in progress", but glad it is there.