I don't see why not Cliff - I would, if I had them.
Terry does not have the "bite" that microfibre has, so has fallen out of favour for many jobs where microfibre appears to do the job quicker or where the job requires that the cloth capture and hold more dust.
For oily residue remove, microfibre grabs too hard and literally sticks to the surface. Terry has its advantage here since it can glide. Very plush terry has all the bounce when folded up to put pressure down on the panel.
Once done, microsuede can be used to buff up to a high shine.
I've continued to use terry and microsuede on glass and found myself using a terry flannel with Bilt Hamber AutoBalm in door shuts. I found terry much better than microfibre with Simoniz Original Car Wax, an old-fashioned formula where terry would have been used back in the day. I was re-introduced to the idea when I tried Swissvax recently and found it worked well with Victoria Wax, too.
Here is a word of warning from Zymol, though:
Not all towels are created equal. All commercially available towels are washed several times by the manufacturer to remove excess dye. Unfortunately, this leaves the towel looking limp and used so they are "sized" to make them look new again. This "sizing" process uses a starch and silicone mixture that will scratch and contaminate your paint finish. Zymol Towels are not "sized".
With non-automotive terry, just give them a wash with a fabric conditioner to make them super soft and enjoy. If it's not to your liking ... stop.
Certainly for oily waxes, I think terry has an advantage. I wouldn't switch over from microfibre for all jobs, though.