Yes, especially for a durable good like a video game, having it now means having it now AND also having it later. It strictly dominates having it later, so I would be willing to pay more. Plus, there's utility in synchronizing with my friend group so we can play through together at the same time, discuss it without spoilers, play multiplayer while our skill levels are similar, etc. And that purchase timing will typically be set by the eagerest friend, rather than the stingiest.

So yeah. I do wait for deals sometimes but it would be silly to say that these two things have the same value in the eye of the consumer.