I've just passed a phone interview with a company in London. For the next round, they offer me 2 choices - either tomorrow at a set time, or on Tuesday at a set time as Monday is a bank holiday in the UK. I replied saying that I do still have commitments to my current job and can't do such short notice. Their reply was simply no, and "please let us know how you’d like to proceed with your application".
In my interviewing experience, I've never had a company be so curt or unaccommodating to a prospective hire before. Should I take this as a red flag as to how the company treats their employees, or am I just over thinking a normal industry practice which I was just fortunate to have not encountered yet?