You'd be missing out on half your badges then. As stated in the part you quoted, you get nothing from pressing that button, only your the troopers on your list do.
You still have to run your troopers for the other 1250 badges.
Same as it is now, except that if you don't do the later (or only partially), you only limit yourself not some of the people on your list (in a mostly arbitrary way).
If 1250 isn't enough of an incentive, you can tweak the ratio a bit. "Send all" for 10 badges each, run for 40 each. 500 & 2000. But I believe it would work just fine with 1250 & 1250, as it is today.
I'm alright with "frustration" being a lever to encourage players spending ironite. However, with "guilt" I'm not, if you see what I mean. Not only from an ethical viewpoint, also from a business one as this kind of practice can easily tick some people off and have them quit.