Yes there is a difference.

(in most cases) reptile specific red bulbs use red glass and are coated with what they call "rare earth elements" which effectively block visible light waves...so you get minimal light but plenty of heat.

Your party store bulbs are typically just a normal white bulb that has been painted inside...and that does nothing to limit the visible wave lengths of light.

Snakes CAN see red light so the more light given off the more stressful it will be to your snake as they won't perceive any type of photo period. (Even though as humans the light appears the same)

Hope this helps.