I think the VC's funding decision is definitely based on growth potential, and less on need for money, but both New Enterprise and Old Enterprise startups tend to require a lot of money to scale and there are VCs that invest in either.
What I found is that individual VCs are very polarized -- some only invest in Old Enterprise, some only invest in New Enterprise, and a few invest in both models. It's quite confusing since the feedback you get is very bimodal, and generally, while you can convince a VC that your startup is a good fit for one model or the other, you can't convince them to do the New Enterprise model if they invest in Old Enterprise, or vice versa. But once you understand the distinction, then it's pretty easy to figure out who to pitch -- look at their portfolio companies.