I can't see that there would be much of a difference, EXCEPT ...
You really need to be careful with solvents, and with denatured alcohol in particular.
True story from some years ago: My wife had some contact lenses that were proving difficult for her to get clean. So ... "I'm going to try cleaning them with this denatured alcohol." (My comment was, "Uh, I wouldn't.") Then ... "Ha. this seems to be working well ... Hey! Where did the lens go?" Yup, it dissolved the lens.
If you ever do any amount of wood finishing you learn that some finishes are good for water resistance, others for resistance to petroleum products, others to alcohol, etc.
Standard isopropyl ("rubbing") alcohol (typically 70% concentration) is fairly anemic stuff and good for cleaning a number of surfaces. I generally use the 91% stuff that's easy to get in Walmart or the drug store. I suspect that denatured alcohol wouldn't dissolve the finish on a Mack Brass horn, but I haven't tried it. I'd also be a little concerned about what it might do to other things it got on in the process. Don't get me wrong: I love denatured alcohol (probably from my days of 7th grade general shop in junior high school). But I'm really careful with it. I use it on various things as a cleaner. Of course, I also use MEK on various things as a cleaner .
If a solvent works on one finish, don't assume it will work similarly on some other.
I don't think I've answered your question. But what I am saying is "Be careful with the denatured alcohol." Test it before using it if you think there might be a problem or you just don't know.
Gary Merrill
Wessex EEb Bass tuba (DW 3XL or 2XL)
Mack Brass Compensating Euph (DE N106, Euph J, J9 euph)
Amati Oval Euph (DE 104, Euph J, J6 euph)
1924 Buescher 3-valve Eb tuba (with std US receiver), Kelly 25
Schiller American Heritage 7B clone bass trombone (DE LB K/K10/112/14 Lexan, Brass Ark MV50R)
1947 Olds "Standard" trombone (Olds #3)