No.
People will disagree, but... it really is a nostalgia thing, I can't stress that enough. I don't want to take away from the experiences of the fans, but those games are horrible to play nowadays.
Having said that, if you love love love Sonic you'll probably find some fun in them. The first one is better imo, better level design and a more classic feel.
Honestly Ive never been a sonic fan, played a coupe 3d ones and the original 3 and didnt like them, some videos made these look somewhat cool but yeh, just not too sure.