100% right. Never a good idea to run air into any FI system and yes, the pump really takes it especially hard on Brutes.Not to be that guy, but be careful running an efi brute (or an efi anything, for that matter) too low on fuel.
There are differing points of view, but most high pressure EFI pumps are designed to be run in fuel for cooling and lubrication.
If I'm wrong on the brutes, NMKAWIRIDER will correct me. ;-)