It depends on what the "erotic services" are. Both terms are pretty wide open and at least a bit intentionally vague.  If you are interested in seeing a gal that promotes herself using that description it would be best to look for reviews so that you can verify that she offers what you are looking for.

thanks Bostonguy57. And I was beginning to think everyone here hated me )

so your saying that some providers might intentionally promote their
services under that description to make people think they do what they probably
hope they do but in reality they might not so it's best check that gal
out, is that right?

Several other things fall under the category "erotic services".  Dancer, cam girl, phone sex operator, internet model, BDSM, etc...

When I was a dancer (JUST a dancer) the quickest way for guys to suss out exactly what we did was to inquire about "private dances".  Gets the question across without crossing the line.

I don't hate anyone...though I have been known to be a bit grumpy sometimes...

Yes "erotic service provider" could be an escort, could be private lap dances or massage, could be S&M or it could be any or all of the above.  I would not see anyone using any sort of vague description of what is they do.  Look for reviews of the lady in question.  If she does not have any I would proceed with caution...or not at all.

"Erotic Service Provider" is a much more broad term that encompasses a variety of sexual services from phone sex operators, BDSM dungeon masters and dommes, tantrikas, strippers, etc.

If you want to know if an ESP is an escort, read her information and reviews, or simply ask her.

thanks for the answer, very helpful.