rsync creates new connection per synched file

It seems that when using rsync it's creating a new connection per file. This involves setting up a new TLS connection, and it's not resuming the session. For small files this creates a large overhead.

No files or tests are named. Start by reproducing `rsync` with multiple small files and trace where each file transfer establishes its TLS connection; then inspect the connection-management path. Done means repeated transfers avoid unnecessary new TLS connections and preserve session reuse, with regression coverage for the observed behavior.

Written by the indexing model from the issue text.