Ah. The recognise bit is sometimes called fly through mode on some types (eg airbus). The system has force sensing in the controls and it automatically changes mode from ATT to SAS in the appropriate axis while you are effectively overriding on the controls. On A109E and I seem to remember 412, when you make a control input with ATT engaged, the system never leaves ATT. The SAS/series actuators strive to re-capture the original datum against this interference. If you are using moderate angles of bank, they don't quite saturate so you're alright. However, at more spiritered angles of bank, the actuators can saturate thus can no longer stabilise in that axis. Suddenly no stabilisation at all in that axis and the flying task gets a step change in difficultly harder. Fly in the cruise and IFR in turns against trim and as you say it works fine. Try to fly low level tactically and it's horrible.
The stick jump in 412 is nigh on impossible to stop. It is the merest of pressure (even the grip you hold on the cyclic whilst rotating your thumb on the FTR that can cause it). With practice it gets less but if you put yourself in the shoes of a pilot used to say a squirrel, initially at least they'll be fighting stick jump on the 412 - and wearing holes in the thumbs of their pussers flying gloves I seem to remember but it's four years (exactly I think) since I was in one so not got one to hand to describe in technicolour.