Where does it say it's a prerequisite? Once they release it OTA I will screenshot the watch app and my current phone version to demonstrate.
The only time an iOS is a prerequisite is on a major version change. So watch OS 3 beta required iOS 10 beta. But every update since hasn't required the iOS update prior.
You are telling me that you do not see watchOS beta 4 OTA right now. Correct? Well you are currently on iOS beta 3, right? That means your iPhone needs to be updated. When I ran wackos 2 betas last year. I needed the parallel update installed on my iPhone first before it would show the watch update.
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Protip: If you update to beta 4 via iTunes, remove the Dev Profile from your Settigns, as it will start downloading beta 3 again on software update.
I think that right there is enough proof we won't get a B4 OTA.