Adaptive recentering (and "balance spring") are features of the rhino that work to keep the stick centered when hands off (wherever the center might be, since it can move), particularly when a heavy grip and/or offset extension cause the stick to drag off center.
The trim following you are talking about is a function of the "spring" FFB effect. When you adjust the trim, the center point moves, which physically moves the stick. Adaptive recentering will help keep the stick in the exact spring center when you let go.
AFAIK, most warbirds in DCS support tirm following (at least for elevator axis)