Depends on how far away from the real amp you are used to standing. 1 foot = 1ms delay.Just chiming in here. Steve Vai says he doesnt use digital gear because he can "feel" even a couple ms more latency than a regular amp. I feel like the Axe does have that couple ms latency over a real amp and I can definitely feel it but its something I think you eventually get used to.
I find real amps in a practice room a bit laggy compared to the axefx into headphones