In order to register at the dr's office my husband used I had to have a valid visa in my passport. Anyone on holiday who gets sick and needs A&E is not refused, but they can make you pay the bill. However, to have a GP you are meant to actually reside in the country. Someone with more experience may be able to tell you more.
I think people get annoyed because most people have gone the legit way to be with their partner and have had many sleepless nights apart. It cost me a lot of money to reach being granted citizenship, and at one point, I didn't see my husband for a year. It's hard to read about someone overstaying for four years, and then just being able to walk right back into the country. I am not having a go at you Ilak. I think it's just difficult for so many of us who had to do absolutely everything by the book to earn the right to live in the UK.