If you sign the licence as the FI who has trained the pilot, you implicitly but necessarily endorse the fact that the training was adequate.
No you don't!
It doesn't say anywhere that the 'refresher training' has to achieve any particular standard or goal, other than be an hour, or more in duration. The word 'adequate' is not used.
Any more, and we're doing our own 'gold plating'.
MJ