I guess it’s personal experience, but I live in London and feel very safe. I’ve travelled quite a lot and I’ve never felt more “at risk” than walking around downtown Manila in daytime. Maybe i was having a bad day, but I never felt more that 6 feet from being mugged!
That’s just people noticing you because you’re white – even in Manila you get it – but it gets worse when you go to places like Cebu. The Philippines still isn’t really a popular tourist destination, unlike say Thailand – so I’d say the feel is much closer to other countries that are off the beaten track as well….Colombia, parts of China etc.
It’s the same for brown people who go to backwater towns and villages in the UK.
That said, it is of course, statistically more dangerous than any western city.