Yes, they did change under Blair's government and were accelerated after 2010, when the Conservatives came to power. I expect people remember that tabloids were full of sill stories about "red tape" and silly 'elf and safety regulations. UKIP even had burning red tape as one of its manifesto pledges. The ideology went across all public services. Requirements were changed to recommendations and responsibility was at local level, so the government could never be held responsible. Incidentally, the government is no longer responsible for the NHS if something goes drastically wrong, but that's another story.
This isn't a party political issue, but it is political. It's such a shame that it takes a tragedy to bring about change, such as the thalidomide scandal or not checking Ian Huntley's CV properly when he was employed in a school. Politicans must hold governments to account, because that's the only way change will happen. Grenfell Tower wasn't an act of nature; it was foreseeable and preventable.