SQLite definitely seems like a poor choice for dealing with many concurrent requests.
Maybe it's improved since I last used it, but to my knowledge SQLite essentially forces all writes to be serialised, at risk of data corruption otherwise.
There are tricks for improving the performance such as WALs, but that is merely a performance boost rather than genuine concurrency with things like row-level locks that you might find in other databases.
I guess if the whole thing is architected with a write-through cache that handles concurrent writes and deals with serialising all the writes, then it can be a single writer streaming changes through to the database, but then you still have a point of serialisation, it just will manifest itself slightly differently.
And SQLite is something that will give you constraints you will always have to consider.
Whereas running mariadb or postgres on the same machine would deliver similar benefits without a risky migration.
If your DB is small enough to run as a SQLite database, then it probably ought to have never been on a different machine in the first place.
There is a very happy medium between SQLite and a database on a different machine, one I am continually surprised to see people ignore.