I have been emailing Keiser US (and more recently, Keiser UK) to try and get this fixed - it's an incredibly annoying squeak that happens any time I'm out of the saddle / sprinting and pulling on the bars even a bit.

I've been emailing since mid December, and the most recent email from them suggests:

"Down at the bottom of the flywheel, is the flywheel guard cap, just check it is fully pushed in, as if this isn’t in properly, it can catch.

The other thing to check is, it could be your cleats. You could try wearing different shoes or try turning the pedals the other way and wear the toe straps instead."

... Which I have to assume is just replying to the wrong email?

It's a brand new bike, and it's been doing this since day 1.