Not sure what exactly happens when you do not have it at all, but when I installed it by mistake in the wrong direction, I had no brakes. I mean: very heavy brakes, you have to really press it to get any response. Can kill yourself...
Please look at the picture to install the check valve in the correct direction.
I have a little increase in rpm when I press the brakes pedal - maybe by 50rpms but then they drop immediately when I keep the pedal pressed. When I had failed booster, the increase was much higher and permanent.
I would install the check valve and see what happens.