All the AAC pilots I have seen wear their wings on CS95 so it seems you will only get criticised...
...Look at the paras, who proudly display their jump wings on their cabbage kit, both at home and away, and they are rightly proud of their achievements to earn the badge. The RMs wear a whacking great dagger and slogan depicting their speciality.
With few exceptions the infantry and the AAC do not operate far behind enemy lines - thus their uniform is not really an issue if captured. Aircrew are of course frequently operating in some depth beyond the front line, and those acting in support of SF either in SH, AT or moving mud should think about the guys they might be giving away, as well as their own skins, before going adorned with too many badges.
FWIW badges do not stop bullets