1st off, 3.6V cells and 3.7V cells have different discharge curves. I feel like I'm the only one that really pays attention to that on this forum, but just look at Wolf's threads on the interaction between cells in parallel and you can see it makes a difference. Laptop cells can be 3.6V, 3.7V, or even 3.85V nominal, Power tool cells can be 3.6V or 3.7V. Nominal voltage doesn't tell you the chemical makeup of the cell.
2nd, I have had a Dell pack with Lishen cells in it, with a proper dell BMS and nickel stripping. Usually you can tell the fakes by their internals, but I do believe Dell used Chinese cells on some of their ultra-budget laptops.