I agree to some extent.
In the UK system, there are a lot of inefficiencies around prevention and timely diagnosis of symptoms. This then knocks onto how severe things are when the treatment side kicks in although that's usually the better bit in my experience.
So, the reason cancer is not treated as well here as in much of Europe isn't because once you get diagnosed, there's a problem, it's because getting a GP appointment, then making it through the (fake) 2 week pathways takes much much longer. My friend with ovarian cysts recently took about 3 months to end up with the diagnosis that allowed treatment to start the following week. If there was genuinely a 2 week pathway, with an aggressive cancer, this would improve survival.
Same with chest infections, if you need three or four visits to get a sputum test and specific antibiotics (rather than fobbed off, told you don't need antibiotics, then eventually when it's conceded you do, get generic ones that may or may not work which helps develop antibiotic resistance) then you are much sicker and then need a chest X-ray, follow up appointments, whereas if you could be tested on the day for bacterial infections, you could avoid taking them if necessary and have specific ones if not.
The NHS is a blunt instrument and very slow at the diagnosis stage.
It's a shame and not the fault of those within it on the wards, the vast majority of the time (I don't like the GP gatekeeping system but that's a whole other thing).