I also prefer information from the NHS even though I live in the US. Here medical information online is all about making money from ads and who knows what else they sell. There is actually little money to make from providing relevant information, unlike a national heath care system (which despite its terrible current state politically in the UK, where it seems they want to move to the US model) has an incentive to provide good information.
I don't know about the NHS, but we can't trust the information vended by the CDC -- they have proven willfully incompetent over the past two years. I will give just one example: they initially told us masks were ineffective against COVID, which they knew at the time was inaccurate. They said it because they didn't want a run on PPE required by medical workers. Result: there was a shortage anyway and they damaged their reputation irreparably. Great job everyone.
Mistakes to correct statements, yes. Those balance out. The opposite of being right is being wrong, the proportion of these two is their score.
Lies though, where we find out they knowingly said something they knew was wrong when they said it, don't balance out. The opposite of lying to someone to manipulate them is respecting them enough to let them make their own choices. They need to acknowledge that and start purely providing facts again - even at the cost of some political narratives, before they'll regain trust.
Corruption is bad, lying with good intentions is context dependent bad, mistakes are OK. But if one is going to throw out the baby with the bath water at every instance of corruption/lying/mistake, you are not going to be left with much other than chaos.
Humans are fallible creatures, we have to work and improve with what we have.
The exceptionalism of the USA is the fact that most of its organization are open to criticism and repair. The FDA/CDC/USDA/DoT/EPA/etc and many other non governmental orgs are far from perfect, but they are pretty awesome compared to the alternatives around the world.
