Still not clear here if the share is part of the club or not
If the share is part of the club then club rules apply and if flying elswhere counts should be cleared up by talking to the CFI - if he does not know then there is something wrong! If the share is not part of the club then it is down to group rules and your own happiness at how current you are.
I would certainly agree that a checkout for 21 day currency should just need a couple of circuits unless your currency has gone well beyond this