I think if it was tried on beta one night experiment basis and that was explained in an arena message, folks could deal with it just fine. I have a lot of faith in the community.  
...And that's where we differ wildly. 

  I think people would log out in droves after about their first 3 or 4 invisible plane deaths, and carry that over to a grudge with the 'direction the game is taking'.  The community are a finicky lot.  If people are forced into unfamiliar gameplay with limited playtime, they get cranky.
Ugh...  Just had a thought.  Imagine what one of the more competent 262 guys could do in a no icon environment...
Learning to function in a no icon environment just takes far too long to do as a short term test.  In the other sim, on the sunday night no icon events (similar to FSO) I spent the first 3 months squinting at my screen looking for dots.  It took me 5 months to get a kill in that environment.  Granted, I was a complete flight sim newb when I began so couldn't keep up with my squad to save my life which didn't help any.
My point is, it's a change that takes dedication and desire to adjust to, not something to be tried for 6 hours.  All 90% of people would get out of that is frustration and the feeling that their entertainment time was wasted.
Wiley.