"Perth Bears" isn't even an option, at least not in any meaningful sense of the term.
If the Bears relaunched in Perth-
• the team would be called 'the Bears'
• the club would still be based in Sydney despite the fact that the NRL team played and trained in Perth
• they'd play up to 4 games a year at NSO (numbers as high as 6 have been thrown out by board members, but the official line is 2-4 a year when they're interviewed by the media about Perth specifically)
• no changes would be made to the brand to make reference to Perth or WA
• they talk almost exclusively about tapping into the old Bears fanbase, not about building a new one in Perth/WA
• generally they even spruik it as a opportunity to get more juniors from NS into the NRL, and not as an opportunity to tap into the relatively untapped talent pool in WA.
In other words it wouldn't even be a Perth team in name only... Perth would only be involved in so far as they'd be the key that unlocked the door that allows the Bears back into the NRL, and the Bears would look to do away with Perth as much as possible as soon as they weren't needed anymore.
Same goes for any of their other schemes to get back into the NRL.