Thanks for not-gluing reason. Forgot or first time reading why. If it's about the movement between 2 layers, I still don't get it. Example is schuluter system which is, technically, anchored to the subfloor. Gluing is similar in that the glue anchors the two layers. So why is one type of anchoring is ok and not the other? Isn't this usually the recommendation when the floor is tiled? Is it the same when the floor is wood or engineered?
OP: what kind of flooring are you using? I'm wondering why you'd add extra plywood if existing subfloor is smooth enough? Instead of adding, why not replace any boards that are too warped or such? Look at the amount of fixes you may have to do vs covering the whole thing? Even half inch ply may have humps if the rough floor you have is not relatively flat. Even some engineered flooring may bridge not absolutely flat subfloor.
If extra plywood makes you happier, ok. Make sure the edges at least meet even and may have to patch the joints. 6d ringshank nails from a nailer gun may splinter the ply face, esp along the edges. Or drive the nails too deep.
Also look at what the changed floor height may do - including the finish floor? Entrances probably will need threshold trims which is raised above the finish floor. Room to room transitions, baseboard heating height, door gaps, entrance door gap, door to bathroom? Staircase riser height? I was forced to use cheap 3/8 engineered flooring because a staircase was part of the floor I needed to fix and I didn't want to risk getting flagged on the riser change. If this area was carpeted especially, change in height may matter a lot.