I Have hand flown both the DC-10 and the 737-700 and 800 at and above Fl 400. They both fly fine and will fly a 30 degree bank without issue, however we typically will limit the bank to around 20 degrees and most of the turns or altitude changes required at those altitudes are gradual. The yaw damper will keep the aircraft coordinated in flight.
Some older aircraft like the B 707 had more of a dutch roll tendency during flight due to the wing sweep and I believe not a very good yaw damper. The big difference at altitude is the stall buffet margin, which means the air speed operating envelope is quite narrow as compared to low altitude, the envelope might be 20 kts between MMO- max speed and the stall margin and the aircraft has weight limits it must be under before it can climb to the higher altitudes.