The momentum of a projectile impact is very low, far lower than head contacts in sports. See, e.g.: https://i.ibb.co/7X6YCLD/ballistic-head-impact-updated.jpg -- from https://nap.nationalacademies.org/read/13390/chapter/9
If your helmet stops a bullet, there's some risk of head injury if the helmet shell, upon deformation, comes into contact with your skull. Otherwise you'll be okay. There's some historical information on this at: https://www.ade.pt/bulletproof-helmets
Also, the kinetic energy of a fragment near the site of an explosion can be higher than the kinetic energy load of a 9mm handgun bullet, which is generally the only small-arms threat that combat helmets are rated to stop.
Kinetic energy is not an unsolvable problem, energy can be dissipated. The momentum is in fact the problem that can't be really worked-around (except spreading it over longer period of time) but the momentum of a bullet is low.
UPD replaced "impulse" with "momentum", lost in translation
Helmets cannot deform as much as vests before seriously injuring the wearer, limiting their capacity to dissipate kinetic energy. And if you make them too rigid, concussion becomes a problem.
Momentum is conserved, recoil momentum is the same as bullet momentum, yet recoil does not kill the shooter.
The initial statement that's being refuted here is that a bulletproof helmet would break your neck and thus cannot work.
This statement is false because (besides such helmets existing on practice) your skull can absorb the momentum without too much damage and helmet can absorb the kinetic energy.
But then the bullet hits the villain’s 300lb henchman, who is lifted off his feet and goes flying.
This is why people think bullets are magical momentum machines when in reality, due to air resistance, the momentum transfered to the target is even lower than at the moment of firing.
(He survived, it's not really relevant here as it didn't stop the bullet - there was an exit hole too).