Braces aren't in danger yet... AWB, 10 round mags and UBC will all come before braces.
There is a huge Public Relations difference between the BumpStock issue and the brace/SBR issue:
1) People *think* they know what a machine gun is (they see them on TV all the time), and thanks to that Las Vegas mass murderer, they have ALL seen and heard for themselves how a bump-stock'd rifle by golly sure *seems* to act exactly like a machine gun. It's easy for them to make the connection, and they already "know" how dangerous "machine guns" are without anyone from the Gov telling them. Thus banning bumpstocks is an easy "its obvious they should be illegal" sale to the general public.
2) NO ONE who is not into firearms has even a vague clue about the difference between a standard rifle and an SBR. Even after you explain it to them, they'd still be like "so why does the barrel length matter again?" In the general public's uneducated view, bigger LONGER barrels = more deadlier boolits. They can see pistols all the time with a 4" barrel (they might even own one or likely know someone who does), so why would a 10" barrel be worse/more deadly than a govt-mandated "safer" 16" barrel? It is nonsensical to us, and even more nonsensical to those totally unfamiliar with the firearms world.
Does this mean that braces are safe forever? Does this mean we sit back and become complacent? OF COURSE NOT. It just means there are more immediate threats that are far far closer to passing and need our attention a lot more than a possible future brace ban.