My unit came to me with ICS pre-installed (was an open-box "demo" unit supposedly just opened to show a customer, but likely FutureShop's typical BS) so I can't verify difference between HoneyComb and ICS, but I definitely get apps randomly crashing/freezing/rebooting the Prime.
I think of all things, I mostly get the "Not Responding" issue in the stock browser. As for lag in touch input or commands: I have found that typing with the on-screen keyboard will often miss or double-type keys I've touched, either with the (horrible) stock keyboard or with the Thumbs keyboard I now use. The keyboard dock works considerably better, and if anything there it's just the slightly odd size of the keyboard that screws me up a bit from time to time. (Have the multilingual one, wish I'd gotten the plain US keyboard as the offset keys mess me up a lot.)