Yeah, I used to no-chill (the plastic winpack things though) and never had any issues. One thing I saw pretty common was people saying their beers come out much hoppier since it stays hot for so long. I never no-chilled a pils or anything delicate, so can't say I have any personal experience, but you can always bitter at 45 or what not instead of 60. There's hop time calcs for no-chill out there if you search.
Another thing to consider just to be on the cautious side, is to make sure your conical can handle a small vacuum if you are fully sealing it where air can't suck in. I imagine it's fine, but might want to make sure before you get a nice big dent or worse.