they do, you can set the TPS value that the flood clear triggers in the cranking/startup settingsI think you are good to go since you've already primed before.
Usually what I do with modern, stock cars is put my foot to the floor and crank the engine. The injectors won't fire, so it helps build some oil pressure before I fire it up.
I forget if aftermarket ECU's do the same thing, but regardless I think you are good to go. Enjoy that first start