I don't think the average person has any strong emotional bias towards the shape of the Earth, they just tend to go along with what seems to be the most reasonable explanation, to the extent that they have knowledge of the facts of the matter.
That's just the point. People on the whole (average Joes) don't have a strong emotional bias to the shape of the Earth. They accept the Earth to be what everyone believes it to be, then carry on in their lives probably never giving it a second fore-front thought. It is what it is and that's that.
For anyone to tell them differently, they will be met with, "yeah, ok fine" and that's that, with maybe a roll of the eyes.
Most people can't even wire a plug let alone think on any level of Earth science, other than what's in their faces, physically.
The fact that most pople are not emotionally attached to such science, as in Earth shape, they simply follow the route of the masses. It's like saying to the average Joe "name me a DIY tool?" Most will say a hammer, yet a bricklayer might say a trowel or a carpenter might say a saw, etc.
The truth is, most global earthers come onto this site and tell people that there's billions of people who KNOW the Earth is a globe. They don't KNOW...they are told it is. Those who believe they KNOW are the few who come on here, just as those who believe they know the Earth is flat come on here in their few. The odds are not stacked against the flat Earth as far as this site goes. It's just percieved as stacked odds by those whose beliefs are global Earth ingrained, who have spent the time to actually study what scientists have put on a plate for them