Client unable to bind to LDAPs through LTM virtual for LDAPS

You need to assign a cert/key to your SSL server side profile. Otherwise, the LTM won't re-encrypt the connection toward your LDAP server. You can use the one loaded on your LDAP server and it should work like a champ.

SSL profiles strip off the SSL. By having a cert/key applied to your client SSL profile, but not your server SSL profile essentially means you are terminating the SSL on the LTM and running native LDAP between LTM and your server.