Don't know if a comparison between such service here in the U.S. and yours in the U.K., but we have a 2013 Toyota Highlander and we've been as much as 500 miles beyond recommended service and the Toyota dealership was more than affable and just encouraged us to be timely if we could. Thing is, the most important item is the oil change, but with the agent of synthetic oils the time between service for that item is 7500 miles or 6 months so it doesn't roll around very often… That being said, I haven't had any issues that required resolution, meaning that if something did need repaired under warranty they could be a different animal to deal with… hasn't happened yet.
BTW, this is probably the most dependable and squak free auto we've ever owned...