Every team is now running automated sharpeners, they are a no brainer for an EQM as they make the daily job of maintaining edges and profiles just so much easier. Each player will have 3 or 4 sets of blades, these are rotated regularly so the height is relatively consistent across the sets. If a breakage / edge failure occurs then it's a quick swap out between shifts and business as usual. Checking profiles is up to the EQM, there are some who do it weekly whilst others might only do it monthly or longer. However technology is continually changing this, automatic sharpeners provided the first real tool for EQMs to change the traditional way they were doing things, Multi profilers like the Elite profiler that will do 4 blades at a time is another tool to make the job easier. But the real game changer atm has been the Elite sharpener (2 years ago it was just the Canadians, now 10 NHL teams have them and I'm told most of the league is catching up). This tracks the profile across each sharpen, besides the fact that the profile shouldn't / doesn't change, the machine will tell you when it has changed beyond a defined tolerance. Now the profile is continually checked and consistent across sharpens and you can do 2 blades at a time. Profile once and then just sharpen for the life of the blade, the EQMs job has just got significantly easier.
My source is a family connection who isn't an EQM but does have some involvement in this area with an NHL team. I was discussing this with him a few years ago and just recently in July.