I have flown types from many manufacturers but not Boeing (if you accept that the ATR is an Airbus-with-props), from memory most of them do it as follows - because it works best:
On ground ... with a specific trigger (event/action/call), LHS & RHS independent flows followed by RHS (or PNF) reading the Read-&-Check list. Response required from other seat for critical items.
In flight ... All config-related items are called as required by PF, which usually triggers the associated Check. This is completed in Read-&-Do manner, with critical items requiring response from PF (confirmation of set-as-req'd or checked). No flows associated with airborne checks (although the known required actions are sometimes done as a flow immediately before picking up the checklist).