That's a tough one. Often the sensibility about what needs to be done comes from hours/weeks/month/years hacking away at their codebase in their specific setting. Much of that has to be rebuilt from scratch in a new place. If you don't find that same connection with your work at the new place - or are unable to develop the relationships with your peers or your manager, you may not end up able to make that impact at the new place either.

I tend to encourage folks who come to me about quitting to explore opportunities within the team/organization/company before leaving so they can leverage all the social capital they've built up.