I accuse those 15 inch laptops of being below the bar. 15 inch should be 1600x900.
If 960xwhatever is okay at 12 inches, then 1366x768 wouldn't even be the baseline resolution for 15 inch laptops, it would be the baseline resolution for 17 inch laptops. That just sounds silly to me.
Assuming the laptop screen is just 20% closer goes a long way here to figuring out a good resolution. And it gives 720p to 12/13 inch laptops at 1x.
3840x2160@15.3" for example would be a nice even 3.0x display scale, at 287.96 PPI, and 128 PPD at 30° hfov to match the line pair resolving capability of the human eye [0] rather than the light dot resolving of 60 PPD, although of course still far from the 10x improvement over it via hyperacuity that you linked to earlier.
[0] https://en.wikipedia.org/wiki/Visual_acuity#Physiology