If one can't sleep without trazodone, but can sleep with trazodone, does that count as sleeping? have hang over for long while after waking up

It counts: It is often prescribed for insomnia. If you wish to stop taking it, you must taper it slowly or it will worsen your insomnia (i guess you noticed that!).

It is sleeping but..: Trazadone is commonly used as a sleep aid successfully in many patients. Trazadone's strong antihistamine effects contribute to sleepiness, but some people are too sensitive to antihistamines to use it without hangover. Discuss sleep pattern & other options like melatonin and Ramelteon with your doctor.

Trazodone hungover: Not uncommon after effect from Trazodone. Talk to your doctor about other alternatives for sleep.