It's like a thirty minute city. You want those services nearish to you but never so close that they'd effect property value. "Nobody" wants to live next to a high school - your house might be TP'd, but you want a good school within bus range, "Nobody" wants to live next to a super market, they have large parking lots and are "undesirable" but you want to be able to drive half a dozen blocks to it.

I've never thought of the B in NIMBY as literally meaning backyard - it figuratively means "near enough to effect me" but people still want it within reach - so the ultimate NIMBY dream would likely be to live in an island of placid suburbia surround by a ring of vital services that are just far away enough that you don't need to see them every day.

(There's also, I think, a separate environmental NIMBYism but that's a really strange concept and usually more of a deliberate misinterpretation by people with an agenda to push - I'm more concerned with city service NIMBYism around public transit, food availability, hospitals, etc...)

There is a large forest near your local community. You and others often walk in the forest and kids play there. Its calming and has been there forever.

The state wants your community to turn it into apartments, but obviously the community is icey about it.

Then activists from another city dozens of miles away, who have never cared for your town or really been to it, show up at Town Hall meetings and are scheduling meetings with town councilors to push for building the apartments.

Those out of town people jumping into your community to dictate change are the YIYBY people.

If the apartments are built, they'll put another feather in their cap while walking around the forest near their home.