Yes. Random means that. It makes it slightly better for tess purposes. I love Tess and tried everything that can give you cards from other classes. That includes Shallow Gravedigger and god, is that a terrible card... This one looks slightly better but not by much.
This expansion, IMO, makes pool of random deathrattles even worse than before
Shudderwock means driving a clown car in circles around your opponent while he swings his sword at you. Half the time he chops you and your car to pieces. The other half you park on his legs and 40 clowns come out one by one, trampling him to death.