Honestly it's really good.
The choice between move or shoot and how it's implemented kinda felt to me like a more modern take on the "Tank Controls" older survival horror had to not let you go gun crazy and kill everything, the sound design felt spot on for a zombie game, and i like the little "Light area" to get the atmosphere right, also i agree with what most people already said here these types of controls would work quite well for mobile.
2 small things but nothing much,
you should cap the firerate, because if you have a good triggerfinger you can almost go machine guning the ennemies from a distance, and since you can see the zombies further than they can see you you can sometimes kill them while they stand still.
Otherwise your game is solid so congrats ! :)
Also the "hungarian meme room" even though i had no idea what it meant XD proved useful for navigation to find the purple door.