I'm _guessing_ the Extreme's bonjour software can't figure out this network.
I have an alternative for you based on the fact that the Extreme supports the industry-standard HP Jetdirect protocol (raw port 9100 printing).
After reading here:
I find you need Foomatic and Ghostscript (download/install) from here:
and foo2zjs from here:
(sorry this is complicated)
What you end up with is a driver for the 1022 that is capable of standard network printing - to an IP address, via HP Jetdirect protocol.
And by the way - you've checked that the Extreme's IP address is within the subnet range that the Netgear creates, right?