I think it's a little more complicated than that. Trolls are often very fixated on their targets but they also tend to be impulsive and looking for quick fixes of glory. This is why things like shadow banning and slow modes and signup waiting periods work pretty well on them. Very few have the patience to wait for a fresh sock account that's limited to be useful.
"I think it's a little more complicated than that." Agreed, but decades of observation tell me there is more than enough supply across the shitpost to troll spectrum to go around :)
Trolls are not lazy. If anything, their efforts are hype fixated.