The BIG-IP determines the lowest connection speed between the client and the server and then uses that for both connections.

This is false because BIG-IP does not inspect or match connection speeds across its two proxy connections; the client-side and server-side TCP sessions are fully decoupled in the full proxy model.

The BIG-IP full proxy architecture establishes two completely independent TCP connections: one between the client and the BIG-IP virtual server, and one between the BIG-IP and the pool member server. Each connection is negotiated and managed independently, so the client-side connection speed has no bearing on the server-side connection speed - they are not synchronized or throttled to a common lowest value.