Contrary to much of what is held as common knowledge regarding lychee floral induction, it is not necessary for the tree to go dormant before it flowers. Dr. Don Batten of Australia performed experiments in which lychee and mango trees that were actively growing at summer temperatures were transfered to a cooled environment. The flush that had been initiated in summer temps was triggered by the cold and turned to bloom. Actually, trees that were transfered in an entirely dormant state did not produce as heavy a bloom as the trees that experienced the cold temps after initiating a flush. Obviously, there is a point of no return where the flush is too large/mature to initiate a bloom. If you can time your pruning so that your tree is just beginning growth when the cold temps occur, you are almost guranteed bloom.
Sounds like you did it right.