If the screenshot below is correctly referencing your description above then I had success with Safari, Chrome, Firefox, & Opera in both Hype’s Preview mode & Export (local, not on a server).
The “hand” cursor (in Hype & CSS called a “pointer” cursor) was displayed continuously during a hover over any of the links.
MacOS High Sierra (10.43.4) & Hype (3.6.8 Build 598).
Note: I’m am not sure what You mean by “publish” - as in upload to a server? If Preview & local export work properly - as with my trials - but uploading to server does not then something is amiss; there is another style in the cascade overriding your selection in Hype.