In a client/server database, each SQL statement requires a message round-trip from the application to the database server and back to the application. Doing over 200 round-trip messages, sequentially, can be a serious performance drag.
SQLite is not client/server, however. The SQLite database runs in the same process address space as the application. Queries do not involve message round-trips, only a function call. The latency of a single SQL query is far less in SQLite. Hence, using a large number of queries with SQLite is not the problem.