As Kitt said, everyone's recovery is unique, so try not to panic over reading other people who are having difficulties.
You JUST had the surgery, and you've got a lot of healing still to do. I would urge you to discuss continuing with PPI's and Carafate through your early stages of recovery. You can talk to your GI doc or surgeon, and I'm sure they will find no problem in you doing that.
I can guarantee you that your wrap will become increasingly swollen over the first two weeks. That's a given. My surgeon didn't tell me that until I saw him for a post-op visit at Day 5. It was news to me, but knowing it made it easier to understand what was happening. He said that my swallowing would get worse before it got better. Each day is a new experience at this point in your recovery.
It's likely that you were experiencing lots of inflammation before the surgery, and that hasn't had a chance to heal yet. I was told that the esophagus is a dumb organ, and interprets anything as heartburn. Try to drink some water or warm tea after eating anything, to help it get through your newly formed and still healing wrap.
If I were you, I'd grab that Carafate, and allow it to coat your esophagus and wrap, so you can get some relief. Surgeons say a lot of things. They haven't been through the surgery, and don't know first-hand the challenges. While every recovery is different, we all experience some things that are the same.
I would be willing to bet that your "heartburn" is actually esophageal irritation. You may very well have some food sitting at the bottom of your esophagus, waiting to get through. As it breaks down, it is very irritating.
Please, please try not to panic. You've got a lot of healing to do, and if you can just follow along as your recovery leads the way, rather than struggling against it, you'll have a much better experience.
You are in the very beginning stages of healing. Believe me, I understand your panic about having heartburn. We are always worried that our wrap won't work, and that we've done all this for nothing. Many people experience those same sensations and worries.
Just realize that you've got to be patient, and give your newly revised GI tract a chance to heal and get up and running again.
We're all here for you.
Hang in there!
Any questions? Ask away, and we'll do our best to answer.
Until then, relax, and don't even think of going back to work!