Sure Henry would be in hindsight perhaps a better king than Charles. But, one needs to remember that Charles I was actually the first king to be raised within the fold of the CoE; Edward VI doesn't count given the fact he never reigned personally and also his dad's religious flipflopping. Henry Frederick, on the other hand, was more in the vein of Scots Presbyterianism AFAIR. So, more stringent measures against the Catholics (maybe), a royal support of the Puritans (maybe), a Protestant queen (definitely) - Marie Eleonora of Brandenburg, OTL mom to Christina of Sweden was mentioned - since Henry apparently declared along the lines of "I will not share my bed with another religion".
I wonder if it might help the cause of Sir Walter Raleigh avoid the headsman's axe?