Just to jump in here -> We support RDS + more and you can self-host, Neosync.

https://github.com/nucleuscloud/neosync

(I'm one of the co-founders)

I tried to figure out how/if this does what I need and your README had no examples. I clicked a couple of level deep, found no obvious demonstrations and left.

I checked the homepage but I do not watch Loom-style demos personally, definitely not 5 minute ones, and so I left.

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When I click on OP's link, or just search for it on Google, it takes less than a full page for the extension to show me an extremely straightforward demonstration of its value. You should have something like that.

A simple example of what queries will look like, what setup will look like, all concisely communicated, no 5 minute lectures involved.