Recovering from hooking bars is tough. By definition the thing that keeps your bike upright is your ability to steer. It's not the wheels, gyroscopic effect, head tube angle, trail, none of that. Individually all of those things have been proven to be non-critical. Lock a headset in place and the bike suddenly becomes unrideable for normal people (circus people etc not included).
Everyone minutely falls one direction or another, steers into it, and recovers. It happens so often it seems like it's not happening, and at some level it doesn't once you're super experienced. This is why a trackstand requires you to go backward or at least be able to power backward - it maintains your ability to steer because you're moving backward and forward minutely. An experienced trackstander will move their body instead of their bike but the result is the same, that of adjusting trajectory.
if someone hooks your bar then you lose your ability to steer, at least at some significant level. You need to disengage as quickly as possible without exacerbating the situation.
If you hook someone then you want to lean into the rider and hit your brakes. By leaning into the rider you avoid the opposite instinct of trying to pull away (worst thing possible). By hitting your brakes you back out of "the hook" and you disengage.
If you get hooked then you want to try and lean into the other rider. Steer at the rider a bit and hang onto your bars hard because if the rider pulls away from you his action will force your bars to turn quickly away from the rider (as his bars pull yours) and you may lose your grip on the bars. If you can hang onto the bars then the other rider will fall and there's a possibility that you'll be able to clear the debris. If you lose the bars then you're probably hitting the deck.