This is a late response, but oh well.
I think a lot of the time, when people highlight the PS2 as being a golden age of gaming, it's often mostly because the PS2 was always their first choice of console regardless. So if today the PS4 were to outsell other consoles 10:1, PS4 owners would likely be ecstatic because they'd rarely ever see any releases outside of first party games, for any console they don't own. I'd say the SNES/Genesis era was the best time in history to be a gamer personally. The PS2 era was just the best time in history to be an exclusively Sony gamer.
Now as someone that owned all consoles that gen (DC/PS2/GCN/Xbox), I honestly don't think it was such a great thing that Sony ran away with it so easily, especially not initially when they had a very weak line-up in comparison to the Dreamcast, but had no problems killing it anyway. At the time, I was enjoying things that Sega was doing to push console gaming forwards, by including a modem, establishing an online network (we had DreamArena over here rather than SegaNet). I was playing Quake 3 online with my friends on PC, playing Phantasy Star Online and communicating with players in Japan, taking part in online time trial competitions in Sonic Adventure, downloading small DLC content to the VMU, etc... and yet due to the console's failure to grab more of a market, these things weren't managing to become more of a standard as Sony didn't require them to win. This continued when Microsoft came along with the original Xbox and brought with it a persistent online network, and amazing experiences like Halo 2, Project Gotham 2, Rainbow Six 3 and more. It wasn't until the 360 came along and Xbox Live became too big to ignore, that Sony began to get its act together in regards to online gaming, and by the time they did, their OS choices had prevented it from truly competing with the XBL feature set the 360 had, as they had only really prepared to compete with the XBL functionality of the previous gen.
In a way I feel like this has continued this gen as well, with PS4's OS and online functionality becoming more competitive with that of the 360 (such as having party chat finally), but falls significantly behind what the current Xbox OS now offers. Honestly, I'd hate to think where we'd be with console online gaming if Xbox Live hadn't picked up where Sega left off. We may be closer to Nintendo's level of online functionality across the board, then what we have today. A lot of what PS4 owners like about the PS4 would probably be very different had the PS3 "Dreamcasted" the Xbox 360 last gen.