Unfortunately I don't have numbers on hand. We approximated our Postgres would ingest around 1 TB over the course of a year, later I think? I could be wildly wrong.
It's been more than 5 years but from what I remember, it definitely was _not_ the partitioning logic (the sharding just meant we had a huge amount of files that were hard to organise). But a single consumer doing heavy writes on a single SQLite file would see enough traffic that pretty soon you would start to see errors and your writes would start to break.