Sorry, it has changed somewhat.
The BroadCom BCM45751 *is* detected. The install routine is reporting "enpxSx" or something like that. When I actually hook the computer to a router via ethernet, the DHCP process completes noticeably quicker, and on that interface.
The wifi is a whole different story. Apparently the new version of the kernel breaks wifi on the chipset (as a USB wifi device, it uses driver r8712u, which is the driver for a LOT of RealTek wifi chipsets, found in nonfree) and doesn't detect it. Someone needs to monitor or correct this behavior; I'm runnng Debian 8.7 on the desktop and the wifi is still working fine.