Is it possible to think you are sleeping good and still have obstructive sleep apnea?

I was recently diagnosed with obstructive sleep apnea. The results of my sleep study showed up to 60 events per hour which is considered severe osa. From what I understand, when a stoppage in breathing occurs, your body wakes you from deep sleep in order to re-open the airway. When my doctor suggested I get checked for sleep apnea I thought there was no way I had it because even though I am a heavy snorer, I don't wake up a lot during the night. Also, I have vivid recollection of long dreams which, correct me if I'm wrong, occur during deep sleep. So, how can I sleep uninterrupted and have vivid dreams if my deep sleep is constantly being interrupted? I am by no means trying to second guess my doctor, I am just trying to understand this.