As far as I know the "Rohde & Schwarz HMC8012" is the only benchtop DMM, being able to measure Volt and Ampere at the same time, having this special build in feature...

..., without ruining the relays and even showing power on its third display space - I did a small test with three white diodes:

Because I am on linux I haven't used the "R&S software" so far. Unfortunately, I haven't managed to use TestController showing more than one measurement at the same time either. I only use LAN for logging. When I am sitting in front of the instruments, I prefer using knobs and buttons instead of the keyboard and mouse.
Allthough I bought my "Rigol DM3068" in used condition, I don't want to do the test with an one ohm precision resistor; there are also some limtations. Either you have a lemming switching the test leads in µs or you have to do it the way it is mentioned in this video by keysight:
ht*
you have to copy and paste the link*tps://www.youtube.com/watch?v=Y6xnLkiUMn8
Doing it like this, you are in a way able to "copy" the build in function of the "HMC8012" in a "more or less self-destructive way" considering the price of the equipment.
So, to put it in a nutshell, anyone will tell you, that you need at least two DMMs or benchtop DMMs to measure V and A at the same time in a perfect and professional way, thus you have a perfect view on any decisive measurement and change in ms, without missing anything during switching time, if the DMMs log that fast via LAN...

...and get a pefect overview within TestController by HKJ:

Cheers.