I have to admit that, in your first post, you seemed to have not connected with what I had written, but, being unsure and not wishing to offend, I let it slide.
I'm a self-taught, completely amateur, hobbyist machinist. I've never spent a day on the shop floor nor have I ever worked in a machine shop. As a result, there are the inevitable gaps in my knowledge of both technique and terminology. I've always heard it referred to as a DTI so that's the term I use.
In some support of that terminology, if you visit the Acronym Finder website...
Abbreviations and acronyms dictionary
and enter DTI, "Dial Test Indicator" shows up, right above "Direct Tension Indicator", so the term must be in general use somewhere.
ROTFLBTCDICAJTTWADBSIHPWTRHITSBKABAYB is arguably the longest acronym known but I've never seen it used. If you can't unravel it, it's decoded here...
Urban Dictionary: ROTFLBTCDICAJTTWADBSIHPWTRHITSBKABAYB