You are correct that the Quik Reports based on Quik Invoice 6.2A do not need conversion. The data structure between QI6.2A and QI6.5A did not change, thus the table that Quik Reports uses for reporting did not need to change either. Thus these reports will work just fine without performing the cross-table conversion.
You will note that in the Options |Install data screen, the table Quik Invoice 6.5A actually has a file name (to the right) of QI62A. This is a 'quik' way of identifying if an older version of a table will still work.