I think Hillary's commentary to her followers won't go much further than that. She learned from Obama's big push after Newtown, that the American public still votes for gun ownership in general. If it didn't happen after that, when even the hardest core NRA'ers were thinking "damn maybe universal background checks are too bad....", then it will be hard to get it passed. Because shortly after that everyone woke back up and it was business as usual. Right off the top of my head, I can only think of Colorado as the only state that made changes directly from the events of Newtown. Any others?
The San Bernadino shootings especially caused a direct argument against the gun ban group.
Let's hope, not only for the victims of course, that we don't have another mass shooting. That's when they get power. What is more likely than any type of actual firearm confiscation, is there being some weasley back ended type of control, like extreme taxation on ammunition. Aaaaaannnd we are right back to where Bob started. Get your reloading stuff ready now.