Firsly a good choise on your FPV camera as I think the swift is a great FPV camera.
I am sure it will work as its fairly common to swap cameras on FPV quadcopters. One of the main things to check the voltages, the runcam swift works with 5-17V so its unlikely it will not work, but its just something to check particularly with other FPV cameras as some can only work at 5V.
If you have any issues just share some photos and I will be happy to offer my advice. I dont own a falcon 280, but we do have some falcon 250 and falcon 180 kits should I need to look at something to help.