While it is true that one of the benefits of a courtesan relationship is the lack of strings, saying goodbye to somebody you care about is not that much effort ;-)
If you have only seen a lady a few times or sporadically over the years, then one may not be needed. However, most of us are fortunate to have developed deep, albeit non traditional relationships with our suitors, and we do worry if we suddenly stop hearing from you. I know I love to hear that a special friend has found love, is relocating to their dream country etc. Sharing the joys and positive aspects of our lives makes them that much better!
We understand that our 'relationship' may be transient, but we do genuinely care about your happiness and well being, or we wouldn't be in this profession.
If the lady in question done something wrong, offended you or breached discretion etc. then I do believe it is important that you let her know what the issue was so that she doesn't repeat it with others.
If it is simply a matter of moving on to see other ladies, or to stop seeing ladies all together, then mentioning it before your last meeting may be best. That way, if she wants to do something special for you, she has the time to organize it.
You don't owe us an explanation as to why you are moving on, but if it is good news - we would love to share it. And if it it is something we have done wrong, we need to hear it.
Life is made up of a series of beautiful moments and shared times. Reliving some of them on your last meeting may be a fun way to end things ;-)