Sounds like you should have bled all over the computer and let them deal with it. The lack of empathy they showed is abhorrent. Ugh. I’m sorry to hear that.
This happened to me during a written final exam, and yes I bled on the test a bit. Was using one hand to control the bleeding, but sometimes I had to turn pages, plus it was dripping all down my arm. Even the digital scan showed my bloody fingerprints on every page plus some large drop stains.
That's like suggesting you trash a hotel room because of some grievance with corporate policy. What actually happens is some innocent housekeeper gets stuck cleaning up the mess you made. The local test proctors are tasked with following very strict procedures and not given any room for discretion, especially if the testee isn't voluntarily withdrawing. It has nothing to do with an individual lack of empathy.