Oops !! A grinding wheel grinds !!
You use a cutting disc to cut, I should know, I did a apprenticeship in engineering, specifically fabrication and welding, (Although the old boys would say "put a cutting disk in that 9" angle grinder will you son" 40 years ago) your still cutting and not grinding even though your using an "angle grinder" (which is the name of the machine), so using the term angle grinding/grinder when cutting is factually incorrect.
And the term disc cutter has come in due to the introduction of portable battery powered tools, you can use to cut things (like exhaust pipes, hence the explosion in catalytic converter thefts) because they are used more for cutting than grinding.
You may not like the term, but it's here to stay, as it's already wildly used in industry.
That depends if they have invested in a battery powered disc cutter