I've definitely noticed a change in 'feel' as you pass through and in & out of eddies in the presence of strong currents, but through-the-water speed is what it is, I don't think it should change the helm's feel if it's a consistent current.
However truly consistent current is pretty rare in our experience.. any time we're in significant current (say over 2 knots) there seems to always be random turbulence so I suspect what you're feeling would be the ebb and flow of eddies on the rudder.
".. there is much you could do at sea with common sense.. and very little you could do without it.."
Capt G E Ericson (from "The Cruel Sea" by Nicholas Monsarrat)
1984 Fast/Nicholson 345 "FastForward"