They're certainly prolific in the network space. Although, if I had a choice between a Broadcom server NIC or an Intel equivalent, I wouldn't choose the Broadcom. Same goes for consumer WiFi chipsets.
I'm not a rabid OSS zealot, but as a hobbyist, their policy regarding SoC (ala RasPi) openness is mildly frustrating. As compared to the BeagleBone Black, I appreciate how TI jumps into the water with the hobbyists and hackers -- even if they do still require you to use closed-source blobs for some of the stuff where they have significant IP. The board layout, schematic, source code -- everything else -- is available for the taking, with their blessing. It's refreshing. (Granted, the CPU on the BBB is not a media player designed to decode a ton of patented formats, so that might have something to do with it.)