I really enjoy playing my hickories so I'm going to say yes, but not as much as you may expect (or perhaps not exclusively via hickory).
I think any time you mix things up at a course, you're going to notice features more. If you switch from modern equipment to hickories, you'll have entirely new perspectives simply by hitting different distances and having certain limitations imposed on you. As you mentioned, from the tee, former hazards you flew or ignored may need to be reconsidered. A short par 5 easily reachable with modern equipment may require you to really look at layup options more than you ever did before. Without a 19 degree hybrid, the greenside bunker on your 190 yard approach can't be ignored via an aerial route and you'll need to find that run up angle (or shape a shot more). And with the amount of mis-hits that can occur, you may see new areas and angles you didn't know existed (of course, with my wild game, that happens with my modern equipment, too).
But, I guess I question whether this different perspective is solely due to playing hickories:
In some regards, the change in perspective by switching to hickories is not much different from what happens to shorter hitters or formerly long players who age. Just from the recent Ballyhack thread, I was amazed at the different perceptions and interactions with the features among a longer, high trajectory hitters and some shorter, low trajectory players. In this case, your thread could be entitled "do shorter hitters better reveal of golf course"? For a shorter hitter, playing hickories may not add much at all to their appreciation because they're already confronting the architecture more than their flat-belly counterparts.
What you're also describing is that hickories don't lend themselves as much to the "get out of jail" free card that can come from the modern ball and equipment. If you can hold a green with high loft or spin from anywhere, playing angles become less relevant. Playing hickories is a way to force the issue by taking away that safety net (at least for longer, aerial players).
But another way to have the same effect would be for courses to simply allow their greens to firm up. If there are slopes and shoulders in the green that promote an approach from a preferred angle, a firm green will make that evident quickly. I've been playing in a member/guest at a Rochester area course for the last few seasons. They hired a new super who convinced the Greens Committee they could take out trees, and have less green (and even some brown) on the course. My attention to angles was heightened substantially (and I enjoyed listening to some members complain they couldn't get close to that pin just over the bunker anymore).
But until more courses make the same decision, hickories are a decent proxy. However, for me, even when playing hickories, I'll only notice the difference from the longer clubs. The Spade Mashies / Mashie Niblicks and other shorter clubs still have plenty of loft and won't reveal that much a difference if the course is not firm (an aerial game is still available). In those cases, if I want to use the ground features, it needs to be a conscious decision to set aside the available aerial option and try the more fun run-up shot.
One final way I've discovered hickories increase my architectural awareness. My set does not have a sand wedge with the large flange, so routine sand shots are anything but. Before Sarazen's invention, I bet players were much more keenly aware of the impact of greenside bunkers.