To my knowledge, rate 1 turns is not a thing that airbus fbw airplanes care about.
I once did an assessment for an airline where we had to fly the "figure B", which includes timed rate 1 turns. The speed regimes were 200, 250 and 300 knots. Nobody explained how to do a rate 1 turn at 300 kt without exceeding 30º bank angle...
There are bank limits at speeds below maneuvering speed, and also when close to the buffet boundary, when flying at high levels and high weight. Then, in NAV mode, bank angles can be very small, in order to make very wide turns at intersections and therefore flying less miles (a form of "cheating"?).
Also, when you are in departure and get a DIR and you do just that (use the MCDU for a DIR TO) the bank angle is small, but if you pull HDG to go there instead, bank angle will be maximum. That is why I prefer to use HDG and later on I use the DIR TO.
So not only the ELAC is involved. The FMGC is involved, too.