I can't say this is the disconnect some are having, but it's the one I did until just now. I read "24/7 compute" and assumed that meant no cold starts. It really meant "up to 24/7 uptime but it will still scale to 0 and require cold starts."
Yeah, but you only want to pay $2/month. I don't know how you came up with that amount, but it seems too low a price point for anyone to spend the 100s of man-hours to wire it up, not to mention the time spent with customer service. And then there's the marketing, taxes, etc.
You're better off just self-hosting postgres in docker on your own vps for $4-5/month.