My group has rolled up characters at the table. We use the 4d6 and drop the lowest. After they roll up a set of 6 stats, I look it over and if it turns out to be too powerful or too weak, I tell them to roll again. Most of the re-rolls seem to be due to low stats.
I think part of the problem with 5e stems from the racial bonuses. They are higher than with older versions of D&D... and bonuses for stats start at lower values. So, it is easy to end up with characters with +5 to hit at level 1.
With that said, most of the chars in my group have some low stats. One fighter type character has an Int of 6.
To me, rolling up characters is half the fun of getting started. I'll tell you, my group had a great time rolling up chars for DCC... and laughing at how awful most of the chars were.
...as I said, other people feel the opposite way I do. Good for you, and I'm happy you enjoyed yourself.
But since none of that happened to me, it doesn't change my experiences or preferences.