I am confused as to why you would want to limit the number of flowers available for harvest if tea is the objective of growing this tree species.
Coppicing is generally used for a forestry management tool or for
wood lot management with fire wood being the harvest from the
trees.
I coppice some of my hickory trees to make sure I will always have plenty of thick branches for smoking meats.
Pruning is the term used for shaping a tree, bush or shrub where the objective is either privacy or flowering and shape of the plant.
Since this tree species will produce plenty of flowers when properly pruned to promote branching, why would you want to remove trunks on a regular basis?