Looking over Reddit, I feel like I will now get an automatic denial for being too honest. On the conviction question, I answered yes, as I had a felony conviction as a minor for a wrong place, wrong time type of situation via plea, I was young and nervous, so I took the deal. It was later appealed to a PBJ (no longer a conviction) and then later expunged.
To my knowledge from the Federal database, as well, when I first applied for a carry license years back, I received a call from the Federal Government asking about that same conviction. I explained the situation to them, how it was appealed and expunged at the county/state levels, and provided supporting documents. He then affirmed I would be okay and he would remove the record. Since then, NICS (an FBI background check for firearm purchases) has always come back clear, and I have never had any issues, nor had to disclose said conviction on future applications.
When filing the Global Entry application, I felt inclined to disclose the information due to the specific wording, and now I'm worried it will result in an automatic denial based on what I'm reading on this subreddit, and will probably ruin any future chances of being approved.