which uses AJAX instead of JQuery
I don't understand this comment. The term AJAX simply means using java as part of the solution (asynchronous JavaScript and XML). JQuery is just the name of a specific javascript library that other people can base their javascripts off of.
So when someone says they use AJAX it does not necessarily mean they do not use JQuery. They may not use it, but the term AJAX does incorporate the use of any Java script regardless of what the library is called.
Are you 100% sure they are not using JQuery?