When some body calls diabolo slacks and eiffels "yo-yo tricks" they are horribly wrong. For instance try asking any yoyoer to do J-whip (underwhip). He won't know what you are talking about. Yo-yo tricks and diabolo tricks are totally different thing. And you cannot do yo-yo tricks with diabolo like they are meant to do.
However you can get really close to those tricks. There are tons of new things just waiting for diaboloers. This video explains three basic concepts which many tricks are build upon. I sincerely hope that i will see more of these tricks done with diabolo.
So sleep with the enemy and do those yo-yo tricks on diabolo.