I would probably take this to the engineer assigned to your account. They should be able to answer that quicklier. Everything Enterprise-ish is sort of a unicorn here and most people (including myself) have little experience with settings exclusive to that plan level.
The way I interpret your page rule, it should return the “experience” content while keeping the client on “www”. That partially does work, however the cases you mentioned do send a redirect to “experience”. I am afraid I cant tell whether that originates from that page rule (I wouldnt expect it to do so, but then I am not familiar with that particular setting) or whether that might be a redirect from e.g. your server. Have you made sure you can rule out the latter?