Wife is booking emergent same day, and depending on the case length and type, 1-2 weeks for most cancer cases, up to a month for a complex deep inferior epigastric perforators flap breast reconstruction surgery which is a long surgery if bilateral; getting that much OR time is a challenge. They'll book for saturdays if they need. Cases that can be done in a surgery center are quick; major cases that require a hospital OR, and other physician clearances take longer to coordinate.
The longest backlog (1 year) in the practice is actually a 99% cosmetic plastic surgeon who is an instagram famous Michelangelo of Brazilian Butt Lifts.
I can corroborate the GP's experience of having to book several months in advance for non-emergency care—the fastest medical booking I've had in the past several years is surgery for my cat, which was about three weeks.
Same as in the US. Three months is the minimum.
Hell, I couldn't even schedule a tooth cleaning with a new dentist less than six months out - I called close to 10 dentist offices.