Except that it’s alot of pilot workload at an intense time, and likely to mis-read or have the wrong fix. The time when you are going missed is the absolute wrong time to be twisting dials and changing GPS to get distance to a fix. Having the approach loaded also makes the GPS flash the screen and count-down a few seconds to get your attention, when you are passing a fix.
seriously, I failed an IFR checkride doing this: was flying a VOR approach and using my 430w displaying distance from VOR to get the step-down fixes. It all went sideways , I got overloaded and I overflew the missed approach point and descended towards terrain before my examiner cut it off. Seriously if I did that junk in actual IMC I woulda crashed.
Examiner and my CFI both said “you’ve got a IFR GPS, why didn’t you load the approach so you could see the waypoints ?” I Did a re-test later and passed by doing just that.
We have better tools in our cockpits now, no reason to make IFR flying any harder than it needs to be, maybe in Practice with a CFI I’d read distance off the page, but in real life: fatigued after a long flight and screaming kids in the back, I’m going to make it as easy and I can on myself.