According to an article by Mrs. John E. Barclay, FASG, in The American Genealogist Volume 33, pages 83-86, despite a "diligent search" over several years, Experience's last name at birth has never been found.
I would suggest adding a Disputed Wife section to his profile, include his current spouse's name and WikiTree ID in that section along with some verbiage. There appear to be no quality sources on the profile for Experience Harvey indicating that she was the person who married Jonathan. She may indeed be a daughter of William Harvey, but there are no quality sources to support that in the profile either; I have not looked for information to support her parentage, but it may exist.
If you will leave a message on Elizabeth Harvey's profile, asking for sources of her marriage to Jonathan, maybe there will be some added. It would be helpful if her parentage had quality sources as well.
In short, because Jonathan definitely married an Experience ______, I wouldn't remove her yet as her spouse until more research is done into her parentage. You may wind up needing to add a profile for Experience _______ as his wife (ideally recycling an existing profile).