Go - No Go Gauges

Hello,
I rebarrelled a 06 to 338-06 and bought a set of 30-06 go no go gauges.
This set stated it was good for 25-06, 30-06, and 270, along with 338-06.
So,I rebarrelled a Stevens 200 in 22-250 to 250 Savage, using a 250 Savage set of gauges.
I was plannning on using the 22-250 barrel on a project coyote beater gun, but looking at my gauge set, it does not set headspace for the 22-250.
Went researching go-no gauges, and multiple caliber uses for each, and the 250 savage stands alone.
Interesting also was that the two web pages I found this information on, didn't even have the 22-250 listed ?
So, long story short,
What is the reason the 250 Savage go - no go gauges are caliber specific ?
Then
Is the 22-250 gauge caliber specific also ?
Thanks
Not totally inept, just a little confused.
Getting older you know.

They have different shoulder angles. Not compatible. 250 Sav 26.5 degree, 22-250 is 28 degree.

Only in cases where the datum diameter and shoulder angle are the same can gauges be used across several cartridges, such as 20 Practical/223/6x45, 25-06/30-06, 243/308 etc.

When in doubt look at the SAAMI drawings available at www.saami.org.

The wildcatters who created the .22-250 changed the shoulder angle on it, so it will not work. BTW, I never buy a no go gage. I just buy the go gage and then put a layer of Scotch tape on the base of the go gage. Works fine and saves money.

Or just use new factory brass got go and tape on it for no go

Thanks for the info !

If you're only rebarreling the rifle once, I would rent the gauges. https://www.reamerrentals.com/searchresults.asp?cat=26