Direct current is direct current. The wave has to do with the efficiency of the voltage step up (or down) of the AC that presents to the device rectifier. If the laptop is expecting AC voltage in a sine and it gets a saturated square, it will probably be handling more current than it expected. Cheap inverters will very likely cook unless the inverter supplying it is properly regulated. That's why you see "Regulated Modified Sine", and "Modified Sine". Although Regulated Modified Sine is nothing more than a sales gimmick, IMO.
With a squared output of modified sine wave you have a sudden voltage surge, and you place that to a capacitive load within the power supply of the computer. In other words, it's a short. So you are only replenishing the charge at the top of the cycle. In Laymans terms, it's like turning a light switch on-off-on-off-on-off........ This is dirty power.
Modified sine wave inverters are fine with resistive loads. You can run a drill all day long with a modified sine inverter and never have an issue. The "surge", or "blowback", is dissipated in the motor (it gets hot).
What happens if your computer processor fan gets hot?
Like I said, a modifies sine inverter will work. It may even work forever. But there is a much better, safer, option. Hell, I could run re-caps on my truck instead of the BFG's; I could have installed a Rover Racks roof rack instead of my Safety Devices rack; I could be using an Acer computer instead of my Toshiba. But I don't.