The latency you see on https://pmtiles.io/?url=https%3A%2F%2Fdata.source.coop%2Fpro... is representative of how PMTiles works on AWS S3, coming from the us-west-2 region. It will be reasonable to load for those in the western US and likely quite slow from Europe or Oceania.
If you want to make a direct comparison of Protomaps to OpenFreeMap, you need to compare serving OpenFreemap with NGINX from btrfs on disk, to running `pmtiles serve` on a `.pmtiles` file on disk, as described here: https://docs.protomaps.com/deploy/server
The OpenFreeMap page for me (in Taiwan) takes 1-2 seconds per tile, which is more than double the load tile for the PMTiles in us-west-2 example linked above.
The best solution to get latency competitive with commercial providers, for a global audience, is to cache tiles at CDN edge locations. I describe automated ways to do that with Cloudflare Workers and AWS Lambda + Cloudfront here:
https://docs.protomaps.com/deploy/cloudflare https://docs.protomaps.com/deploy/aws
I'm also experimenting with http://tigrisdata.com which lets you geo-distribute a static storage bucket like in this example: https://pmtiles.io/?url=https%3A%2F%2Fdemo-bucket.protomaps....