Think of casters. Casters trail behind and are much more stable when trailing behind the pivot point. Turn the casters so they are facing forward (leading) on a shopping cart and then push the cart, the cart wants to shift around while the casters try to twist so they are trailing as you initially push the cart.

Cars are the same way. If you adjust the caster angle on a cart so that you have positive caster, you will make the car feel more twitchy and responsive however it won't track as straight easily and when you let go of the steering wheel while making a turn, it won't return back to center. You adjust the caster so you have negative caster, the car won't be as responsive or twitchy when you are steering but it will feel much more stable. You will be able to let go of your steering wheel and the car should tract straight for a while.

So yeah, a backwards fork will make the bike feel much more stable but when you turn the handlebars, it won't respond as quickly as a normal positive angle fork.