most games don't allow sprint while in ADS mode, for the games that do, adding an adjustable delay for it to activate would also solve.
In fact, it does solve, it's something I do in Steam software.
it also has the added bonus of allowing the left stick click to be utilised for something else, in my case that is often reload or crouch/prone
The worst side effect of the feature is, without a delay it can stand you up accidently while you are in prone crawling moving forward and accidently hit the edge of the movement. But, as I said ( and what I do to solve ) is add a delay in the activation time, so if hit accidently and briefly it doesn't activate.
But then some games quite often stand you up for no apparent reason any way ( I am talking to you Battlefield )
If it was added as a function people could use or not, their choice, then you are not forcing anything onto people that they may not like. I am fairly everyone would feel about it like I do, once used there is no going back.