In my experience with BoA, Discover and Paypal, the analyst asked for my information, and asked me for the limit that I wanted/hoped to get.
Then they run the app, and would tell me whether or not I got the CLI.
This did NOT do a hard pull.

If the system did not approve the CLI, it would warn the analyst (who in-turn warned me) that continuing on would mean a hard pull, and it's at that point, that I would say thanks and politely hang up.