It might be a technique thing, although you are correct that those maligned "modern" screw designs do not strip as easily.
It is crucial to get the right type and size of screwdriver - look for the markings on the screw to differentiate Philips from Pozidrive (mixing them up will chew up screws). Give a test wiggle before trying to turn the screw - there should be minimal slop, and the bit shouldn't immediately try to "cam out".
Apart from that, the trick is maximal downward force. Push the screwdriver into the screw as you're turning - most cross-head designs will try to "cam out" due to tapered sections of the interface, and that's what chews up the screws. I rarely strip screw heads, even on cheap consumer products.
It is crucial to get the right type and size of screwdriver - look for the markings on the screw to differentiate Philips from Pozidrive (mixing them up will chew up screws). Give a test wiggle before trying to turn the screw - there should be minimal slop, and the bit shouldn't immediately try to "cam out".
Apart from that, the trick is maximal downward force. Push the screwdriver into the screw as you're turning - most cross-head designs will try to "cam out" due to tapered sections of the interface, and that's what chews up the screws. I rarely strip screw heads, even on cheap consumer products.