Big NO on Dave Matthews Band and most jam bands.
Mild NO on Rush, who I honestly know every little about past the hits. Never had a Rush phase ever. Never been very curious.
The wording of the OP's title is confusing. My feeling about these bands is that they were hugely popular in their day, but haven't really been passed down to younger generations in a significant way. Maybe Rush has. Is there a wave of young bands influenced by Pearl Jam?