Let's a assume for a second that all that aircraft intelligence makes it to a map in the pilots hand in zero time like it does in the game. That may be slightly too fast, but then the maps are smaller than in reality, and there's a fuel-burn multiplier, too. The game-world turns a bit quicker than the real one.
How does the position of ones own aircraft get on the map? Through a ground-based observer (maybe below 2000 feet being able to read the tail number) or radar, but without transponder for identification? If that was removed, all the realtime-updates of other aircraft probably would be much less of a problem.
In the old days, maps looked the same everywhere. Navigation may have been difficult on some maps. Today maps are sufficiently feature-rich to make the GPS feature of the map no longer necessary. Navigation is possible by looking outside of the window, the compass, speed indicator, the clock. With that removed it would allow for more other aircraft information to be displayed on the map without risking to turn it into an on-board intercept computer.
Although magnetic deviation is zero, the whiskey compass doesn't suffer from acceleration, and the DG doesn't drift, and the fully automated E6B shows ground speed - loss of GPS would probably cause too many whines. To avoid unified information about "self" and "other" for use as in-flight targeting computer, the only practical solution is to limit the information about "other".
An arena setting for "GPS off" (including hidden coordinates in the E6B tab) for scenarios might be nice?