I love Mafia (2002), but I think the remake, Mafia (2020), was a brilliant game too, they made changes to characters but I didn't feel like it wasn't respecting the original game or anything based on my memories rather than directly comparing them side by side. I had replayed 2002 Mafia some years after Mafia II came out, which I also played at the time.
I played Mafia II Definitive Edition last year and I really enjoyed it*, more than when I originally played it I think, the atmosphere and story is really fun. Never touched Mafia III due to the reviews, previews and gameplay I watched, that sort of open world gameplay isn't for me in a Mafia title, its a shame seeing as people ITT have very positive opinions on the characters and story.
I'd definitely play a full remake of Mafia II as well, I thought the remake of Mafia looked stunning. The video saying 2030 has me sleeping though, thats too far away, I'd hope it gets worked on concurrently with the sequel to The Old Country and has been worked on while TOC was being made. Probably wishful thinking though, they're able to make these narrative games because they aren't stretching themselves thin it seems.
I've yet to play Mafia: The Old Country but its on my list, the downsides I've read (hand to hand combat and stealth a bit mince) don't bother me, these games always had a certain amount of deliberate design that doesn't account for left field tactics/methods of play. Its all about the tone, characters and story. Even the racing bits looked fun from what I saw, which has always been a part of these games.
I get the feeling that from Mafia II, that someone high up in the publisher or an external funding source has been making sure this game series continues and gets remakes, I'm not saying it doesn't sell well but just feels like someone wants it to succeed and always be in the gaming consciousness the last 20 years.
Whether that the case or not I'm glad it can continue as to me its a pillar of gaming for me, when the first game came out I was blown away by the city and the modelling of car damage, bear in mind this was 1 year after GTA III, it was what made PC gaming special back then.
*I watched the OP video while I typed this and I didn't get any of those (kind of hilarious) Mafia II DE bugs, sure it had jank and animation errors, one or two soft locks (which were fixed with reloads that caused minimal progression loss) and some other minor issues (Playboy mags not spawning, but tbh I'd seen the majority of those images outside the game before then heh), but nothing like whats in that video, was that a specific version of the game that had those issues? I played on PS4, maybe it was just because I was playing it way after launch and it was patched up.