I can do it for about 1000 bucks minimum cost. That's assuming a nearly free engine. 2K is right at the minimum for a basic swap plus all the little odds and ends. It's 100% totally doable but you have to do a lot of the work yourself. That's not a problem since it's totally kick ass easy to swap a motor in these cars.
So yeah, YOU ARE 100% CORRECT. It's is very possible but it takes work and patience.
My swap including motor has about 6500 bones in it. That's a fully built motor, adapter plates, clutch, exhaust, cams, ported heads, fuel rails, injectors, intake, odds and ends and labor including blueprinting the motor, all machining and all parts.
Tell the haters they out to check in on our 5.4 swap thread and talk to the 10+ peeps doing it or done with it already.
FWIW, I would have originally only spent 900 bucks on mine. That's all the parts that I started with (complete motor and adapter plates and clutch) cost and I was planning on doing all the work myself. It would have come in under a grand but I wanted to be able to do boost, nitrous, and hard racing with no worries.