Bridge CPG & PHPBB on site with parked domain

[NevilleX]

I'm planning to add one parked domain to my site, so it will be possible to access same CPG & PHPBB from two different domains.
I wonder will the integration still work with this setup:

I know this will work with primary domain:
Gallery: name.com/
Forum: name.com/forum/

But I don't know if this is going to work with parked domain, it's a different domain, but same target:
Gallery: name.net/
Forum: name.net/forum/

[Nibbler]

It would work, but you'd have a different set of cookies on each domain. You'd find yourself logged in under .com but not under .net or vice-versa.

[NevilleX]

This is OK! 
Thank you very much for clearing this up to me!