The first player to separate the cue and the seven ball here is the underdog to win the rack, with one exception which I'll soon touch on.
Thinning the right edge of the seven will almost surely give up a simple duck (possibly one rail, possibly two rails) of the seven to the top rail, or even worse, a two way bank of the seven in the side in which the cue can be brought back to the bottom rail.
Against a strong player, I'm tapping the seven to the rail and awaiting further developments. Even if I don't freeze it, my opponent may opt to play the safety, which would please me. If not, one of us will eventually freeze the seven and the other will be forced to play that safe. If my opponent is able to freeze the seven, I'll play the safety in a way that tries to leave my opponent bridging over the nine on their next shot, and if I can execute that, I've eliminated my opponent's edge in the safety battle.
Patience is the winning formula here, in my opinion.