In my country, the Xbox 360 was only available in the form of hacked consoles and pirated DVDs.
But I can imagine that in those days in the US, players bought all this officially, and received high-quality games from XBOX's internal studios. Also, although I couldn't personally appreciate it, but as I know in those days, XBOX set the standards for multiplayer games (Halo, COD and many other releases), and those times were golden for a whole generation of gamers.
But then the XBOX One came along, and even then the situation could have been saved, there was a good launch lineup of games, and the reputation of the X360 that saved sales, but everything was destroyed by Phil Spencer, who killed the exclusive IPs and relied on subscriptions.
And the final blow was the forced crossplay with PC, it destroyed the MP community, which suffered from cheaters and was forced to leave the platform (and then MS cried that XBOX was in 3rd place, although they did everything to make it happen).
And after all this, there are people who wonder why XBOX is not loved? Many of its owners were simply disappointed and switched to PS4\PS5\NS or even PC.
Some have done it twice already, because they believed in the false promises before the launch of the Series.