Hi, I think the issue with timeout is not coming from Odoo, but from one of middle web-servers or proxies or API client in between, like nginx, apache, curl whatsoever. So, you can try to solve this two ways:

1) try to find the entity causing this timeout issue (I would start from curl if you're using it and then nginx)

2) get products in a cycle in a few pages

Hope this helps.

PS: if you like the answer - please upvote it! Thanks! :)