Maybe not in the army or air force (definitely not the air force), but they do in the navy. Let me explain:
Once you get promoted to Lt(N), you train into one of 6 specializations (ok 8 technically but lets ignore clearance diver and subs for a moment). We call these specializations our director level qualification, or "D-levels". Two of these are warfare related (AWWO, UWWO), 1 is sort of but not really warfare related (IWO), and 3 are not warfare related at all (NavO, DeckO, CISO). So, by the end of our "d-level tour", some of us have warfare experience and time working in an operations room, while others have very little, or none.
Fast forward to our next qualification, where regardless of what D-level we did, we all train to become "Operations Room Officer". It trains us to lead the operations room in defending the ship against all areas of warfare. It's kind of like our version of AOC. However, while all NWOs will do this course, not all NWOs who finish this course will actually work as an "ORO" in an actual ops room. You could get posted to a Kingston-class as an XO, or to one the new AOPS which have no real fighting capability at all.
So, how do they decide who get's which posting? This is wear navy career management gets a win. They know that by the time we get to be XOs (LCdr) and COs (Cdrs), we need a wide breadth of experience. So, those of us who already have warfare and ops room exepreience (AWWOs, UWWOs and IWOs) are more likely to get posted to a Kingston or AOPV, while those who have not yet had a chance to actually work in an ops room are more likely to get posted to the frigates.
That's not how it works 100% of the time. I mean, I wouldn't want to be sailing on a ship with 3 OROs who were all former DeckOs! (sorry, not sorry) But at least the navy is trying to manage our experience make sure it's future leaders get a breadth of experience.