When I was in scouts, two separate groups of us went to Philmont, on different trails. Both crews had a variety of purification methods but ended up using a specific model of filter the most because it filtered really quickly and didn't taste off. Halfway through the trip one crew became seriously ill. That was when we realized that the 'fast' filters were fast because they were assembled incorrectly and weren't filtering at all.
So yeah, backcountry streams can be totally fine. If you want to play the parasite lottery, be my guest, but know that it is a lottery.
And I've occasionally taken unfiltered freshwater from streams over the years but have generally been picky about where/when/why and have accepted each time that I was foolishly rolling the dice.
And and, a popular recreational "lake" in the area was recently found to have a major problem with e. coli after it hospitalized a young child with complete renal failure.
Cattle are grazed all over the backcountry, people poop out there (and it lasts a -lot- longer in the wilderness than you'd guess, especially when people use TP and leave it out for the squirrels to gather for nesting material), and people do the same on snow which melts into streams at high elevation.
If there's a 1 in 20 chance of picking up a parasite from drinking unfiltered water in a backcountry area (minimum 20 miles to civilization), then the average person will be lucky enough to get away with it their entire life and then tell other people, "but I did it and I'm fine!"
Given this, it's a total no-brainer to err reasonably on the safe side when it comes to natural water sources, in my opinion.
Filtering water is extremely easy with products like the Sawyer Mini ($25), which you just screw to the top of a standard water bottle and drink through. It’s stupid to take the risk when the precautions are so easy and so cheap.
It is unfathomably irresponsible to let other people’s children, in your care, drink straight from the stream.
I am in my forties now, and I would conservatively observe that at least 20% of hikers and backpackers will choose "pure" and "pristine" streams or bodies of water as a great place to take a swim and wash the trail gunk off their feet or nethers. And I'd guess that at least 10% will casually ignore rules about where to relieve themselves and often do it far too close to trails, streams, and lakes.
People can get caught up in the romance of the wilderness and forget that countless other people enjoy those same spaces before and after your visit, even if you manage to find some place remote enough to actually be alone for a few hours or days. They assume the environment is more pristine than it actually is, and also underestimate their impact on it.