I see your point, and if we allow that the timing and translation are as strong as you suggest (again something I'll check later, but if you know, does she literally say it before the Griever fight, as in after you defeat her first form?), then very compelling. However I would suggest the analogy is slightly weaker than you suggest even in this case. It seems more akin to Ultimecia saying she will shoot Squall, aiming a gun at him, then a knife hitting Squall from the direction of the gun.
I admit I don't have a better explanation, and the isolation after the fight, though it fits better IMHO, does require quite a stretch, but the 'obvious' interpretation does have quite a gaping hole in it regarding the word 'feel', and given it was a final boss, you'd think that explanation should carry through a translation.