What you are describing sounds like the 'follow-through' - seeing the landing points down the scope. Some of this is down to technique on your part and some down to the recoil on the rifle. You should be able to do it with an off-the-shelf T-Rex (I could, mine was .22) as they shouldn't recoil that much. I then had mine tuned with a 22mm conversion and it totally transformed it and yes, the follow-through is right there without much effort. It is also there with my 24mm sleeved-down HW80 as well (apologies - tangential point - but speaks to the sleeved-down approach).
Not all tunes are the same. You can optimise the current internals, or re-engineer them (sleeved down approach). All rifles are improved with a little TLC.