you can remove the spout whenever you want, the spout itself wont affect anything, just when the spout in plugged in the EEC will take control of timing and it advances timing at idle so you will read higher than the base and can throw you off when adjusting timing... but as far as when to pull the spout.... doesnt matter at all.
unplugging it will just kill the EECs ablility to control timing and then the timing on the light when you check should be 10*BTDC (if its stock and etc). then you can set your timing to say 12*BTDC etc etc, then plug the spout in when your done..
I can give you an example of my motor,at 10 degrees car made 282 hp and then with 14 degrees she made 293.torque stayed just about the same on both pulls.
yeah advancing the timing will give you more torque which equals horsepower..... just stay away from spark knock and you will be alright.
i ran 15-16* base with my old mild HCI combo a while back.
now with the tweecer i have, i do all the timing adjustments on my laptop. my dizzy is set to 10* base and no need to adjust the dizzy itself anymore...