I'm not sure exactly what issues the company has with sick time but I'm guessing a spike in sick time right before it resets raises eyebrows. I haven't seen any stats on this but human nature you know...
If sick leave was left unchanged except it reset on our date of hire instead of June 1 would that be palatable? In theory that would spread sick leave more evenly throughout the year and maybe the company would be less interested in cracking down on sick leave abuse. A potential downside is less required staffing but I'm guessing May isn't the month they staff for anyway.