No, it is not profitable to shove with air, because only the hand that is ahead can buy insurance. If you shove with air, or a draw, and are called with bottom pair, only bottom pair can buy insurance against your suck-out. Air-ball shover is swinging in the breeze on a pure gamble ... and bottom pair no longer has downside.
You have got a horrible little attitude, maybe make that clear in the title and thread it is for "site owners' and get ready to bump daily. Doesn't matter if they haven't played insurance they are telling you their opinion, be grateful you even have one from them because it is all you're getting. No site owner is going to enable insurance on their site because someone thinks everything revolves around them and has the amazing idea 'to them', they will decided against for the reason these so called half-assed opinions have helped you with.