IMHO the answer is NO, you are allowed to do this.. But dont rely on what me or anyone else here has to say.. send your question to Adsense Suppport.
it's not against the tos and you can also give permission adsense to visit membership pages from your adsense panel
As long as the AdSense bot can crawl it, it should be fine. Of course, in order for it to crawl it you'll have to use a type of cloaking, which is against the TOS of Google.
Google has to be able to access the page. If there was ever a question as to whether the content violated TOS, Google has to be able to see for themselves in order to protect the agreed-upon rights of its advertisers whose ads may be displayed on that page.