Does sonic love rouge in sonic chronicles

Rouge flirted with Sonic in the begining of this game.

During your adventure you can speak with Rouge about different threads
(including her opinion about Knuckles).

Rouge also asked Sonic to help in her mission.

Sonic Chronicles shows some warm relations between Sonic and Rouge.
It mostly depends on what your answer/reply will be once you talk to Rouge.

So, this game makes some hints of this.

And I like Amy's jealousy at this! >=3