I don't think I'd make that security tradeoff. From best to worst, I'd rank the options is this order:
(1) signed open source
(2) unsigned open source
(3) signed proprietary
(4) unsigned proprietary
In some cases I might rank #3 as the worst option if it prevents me from editing the firmware binary (to fix a security bug myself or to remove tracking info like a serial number), reverse engineering the firmware to verify it (because signed code is often encrypted as well), or installing alternate firmware that might be more secure.