Not to mention the taste.
But I thought the whole debate here is whether they're doing something to commercial juice that's different from what you get when you squeeze your own. In which case... shouldn't you be comparing home-squeezed vs. the store-bought ones that are not pasteurized or from concentrate? The ones that are claiming they're absolutely nothing but just squeezed orange juice? If the label already says it's been treated differently then there's nothing to investigate...
However, if your next-best option is pasteurized juice, that sounds... just fine, if not even better? I mean I hope you're not finding pasteurization a horrifying Big Ag conspiracy of some sort. And pasteurization seems like a pretty plausible explanation of the difference you see compared to what you squeeze yourself... so then what's the huge worry?
[1] https://www.target.com/p/simply-orange-pulp-free-juice-52-fl...
[2] https://www.target.com/p/tropicana-pure-premium-no-pulp-oran...
One key thing about squeezing your own juice is that typically you get more fiber in your diet and fiber usually has a negative impact on cancer, which I would strongly suspect would mitigate the impact of the sugars... in addition there is a health consciousness effect where you might notice that some man or woman who is that committed to fresh-squeezing fruit juice for themselves and their kids, probably has other healthy habits that would tend to discourage cancers.
Fiber only works to limit the rate of fructose absorption when it's intact and the fructose is bound up inside it.
In either case, you're drinking lots fructose that's been separated from fiber. Without fiber, there is nothing to slow digestion of that fructose, so you end up with a massive glycemic impact. Alongside that, fructose directly causes leptin resistance, resulting in overeating.
Also beware of eating too much fruit all at once. Fiber can only do so much, and a stomach full of oranges will also lead to the same result.
It's very difficult to eat 5 oranges in one go.
It's very easy to drink the same 5 oranges as a fresh squeezed drink.
So it's basically a question of quantity, eating it makes you full very quickly, unlike drinking it.
Truly fresh, unpasteurized orange juice only lasts a few days.