I know Best Western is pretty generous with their Status Match No Catch program, so I thought I'd test the limits of it, despite rental car status not being officially supported. Submitted proof of my Avis President's Club status via email (instructions here:
https://www.bestwestern.com/en_US/best-western-rewards/status-match.html)
Received the following email back (hotel was bolded):
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To upgrade your Best Western Rewards® account to the appropriate tier, please provide the following information:
* Proof of Elite Status with another **hotel** loyalty program (A screenshot or copy of your loyalty card or account statement showing your full name)
Once we receive this information, we’ll complete your status match request promptly.
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Suffice to say, I don't think rental car status matching will work