Similar issue: My small-ish company used to hand out the emails and phone numbers of its programmers. After enough of them threatened to leave because our custo

Similar issue: My small-ish company used to hand out the emails and phone numbers of its programmers. After enough of them threatened to leave because our customer-facing offices were constantly distracting them from projects, their policy changed entirely. Now there is a Jira firewall, managed by a liaison, and we get to things when we get to them. A distraction-free environment is the only way to get your money's worth from a good programmer.