Wife had two laminectomies; road bike for her was uncomfortable. She had one of those comfort bikes but couldn't go very far in it. She now rides a Trek 7.1 FX hybrid and she is very comfortable in it. Her sitting posture is an ever-so-slight lean which makes for perfect comfort......for her.
I never had surgery, but do have spinal stenosis. I ride the Specialized Allez Elite and love it. I generally do not go into the drops, but when I do it's not a problem.
As other have said, your own comfort will be the deciding factor.