I think it depends. If you use the resources that are allowed can help you learn more about the openings you play and can directly translate into playing better live games; either Live here or live OTB.
Of course, if you play turn based like you play live, not using enough of your time, not using things like the opening explorer/books and not studying your games then it might not help much. Though, I don't think it would negatively impact your live play since playing more games will allow you to see more patterns and differing styles of play.
Just curious if anyone out there finds that playing alot of turn based on-line chess negatively effects their live play.