No, Broadcom is quite unique in requiring blobs to boot. There are plenty of SoCs that are functional without firmware blobs.
Generally there are issues getting the GPU working well without firmware blobs but other aspects work fine.
Check out the Freescale part used in Bunnie's Novena laptop for example.
This is also the case for TI parts and the other manufacturers you list. Broadcom is somewhat unique in requiring a blob to even boot the system.