A false drawer front is more traditional. If you are going for a cleaner more modern look I would have full height doors.

If you do the full height doors, make sure there is an internal “modesty panel” inside the sink that hides the sink and a bit of the plumbing when you open the doors. It’s a small detail, but I think it makes for a nicer overall result.

Or you could do all drawers here, even under the sink, if you want a very modern look. And only at 24”H, and float it, if your cabinet maker builds floating vanities. They do have to be built sturdier.

Having full height doors makes it easier to access the plumbing, and your plumber will thank you for this. At least mine did.