Honestly, the game emulated the most in SRB2 is actually Sonic the Hedgehog 2. In Sonic 2, they made a very conscious decision to give Sonic a super form, and Tails got nothing. However, Super Sonic was very popular, so they expanded it a lot with Sonic 3K, giving every character a Super form and honestly, going far overboard, with Hyper forms, the whole nine yards.
That's just lame. All of the new forms were palette switches of the other characters, with Super Sneakers and Invincibility tacked on, as well as incredibly repetitive music that makes me keep a shield on all emerald saves to this day. None of them were anywhere near as downright "cool" as Super Sonic was, and honestly, we don't need lame palette switches in SRB2.
There is the reason why Super Tails/Super Knuckles/Hyper Sonic/Hyper Knuckles aren't in the game, in a nutshell. They just aren't that interesting.