It may depend on the hairspray you are using and how much. Have a read through this thread here https://simhq.com/forum/ubbthreads.php/topics/4493397/jack-and-frank-the-japanese-interceptors#Post4493397 where i did two Japanese planes with the hairspray method.
With paint 'sloughing' off, which i had with the Raiden, it was because i was using too much hairspray and then too much water aftwards.
Less hairspray made the job easier as did only using minimal water in the area i was working. I use a chopped down cheap brush (pictured) so it is only about one and a half to two mm of stiff bristles and a skewer/toothpick to pick away carefully.
Vallejos chipping medium is decent and requires only one light coat but must be thinned despite many on youtube showing them spraying it on at super high pressures with no thinning. I'm using that atm thinned with the Vallejo airbrush thinner too a sprayable consistency at about 20 psi and only one to two coats. Results are not much different from using hairspray but at least my model room doesn't smell like a hair salon 😀
The drums pictured are with the vallejo medium. One last thing, you don't need to panic and rush worrying about chipping within 30 minutes or an hour. I've left models to top coat cure over night and they still chip quite easily.
Good luck!
2 attached images. Click to enlarge.