No. That doesn't make any sense.
OTCMarkets created its "tiers". OTCQB is one of them. Originally, all that was required to be on the OTCQB tier was that you were an SEC registrant. that made sense. What's happened since makes less sense.
A couple of years ago, OTCMarkets decided that in order for a company to remain on the OTCQB tier, it needed to maintain a stock price of $0.01 or above, and pay OTCMarkets $10,000 a year. Fail in both or either, you're put in the Pink tier.
Then even more recently, OTCMarkets decided to allow issuers that are not SEC registrants to join the OTCQB tier.
Far as I'm concerned, that tier no longer has any real meaning.
But none of that has to do with allowing reverse splits or not. That is governed by FINRA, to whom the issuer must submit a corporate action request.