I agree with the math for sure.
1/4 MOA is 2.6175" @ 1k.
1/10 MIL is 3.6" @ 1k.
1/4 MOA is a finer adjustment.
I think there are a lot more factors that come into play at 1k as well. Bit cutting whatever error you can out is a good thing.
Can you hold the 1" difference at 1k between MOA and MIL adjustments? Can your rifle? Can your ammo? Is you zero absolutely perfect? Is your shooting solution on an absolute 1/4 MOA interval (or 1/10MIL)? Does your scope track perfectly?
I have had shooting solutions in MOA say 22.9MOA. And is that really 22.9, or is is 22.85 rounded up? So if you dial 23MOA (1/10 MOA off), you have now introduced 1.047 or up to 1.57" of error to your shooting solution. Good thing with MOA, your solution won't be more than .15MOA off as long as every input into your ballistic solver is perfect.
Don't get me wrong, same goes for MIL as well. Your shooting solution will only read in 1/10th MIL. If you are between MIL, you won't know, and you just introduced up to 1.8" of error. Again, .3" more error than MOA. I can honestly say I couldn't hold (or even see) .3" @ 1k.
Then there is 1/8 MOA and 1/20 MIL adjustment scopes...but those are for the ELR and/or F-Class target guys.
Hitting clay pigeons at 1000 is very impressive. Hitting golf balls at 1000 is amazing.
After all that...I am still a MIL guy! And FFP...but that is another discussion.