I've never ever stripped a good phillips or flathead screw.
I have. Both. Many times. (Most often my own fault.)
There's a phillips and a flathead screwdriver on every SAK or small keychain multitool,
Yes, and many drivers are not properly manufactured. Some SAK and multi-tools, for example, have polished screwdriver heads (so they look pretty?), thus making their surfaces less "grabby" and rounding their edges, insuring that, in a fastener that already requires insertion force for a tool to work, that even more is required.
but no one ever will carry a torx driver in his pocket.
I'd be careful with that "never"
Correct me if I'm wrong but that is maybe due to the design of the thread and the body of the screw.
No, that's due to the design of the Torx "interface," if you will.
The Philips driver fitting is almost
designed to force the tool out of the screw as axial force is applied. It's easy to get the driver into the "slot," and easier to keep it there,
until you start applying axial force. A
good slotted screw and properly designed/manufactured hollow-ground driver, properly matched to the fastener, doesn't have that problem. The key word there is "good." Many fasteners, and even more drivers, aren't well-designed/-manufactured. But slotted screws have almost the opposite problem of a Philips: That of keeping the driver in place when axial force is removed.
Hex- and Torx-head fasteners have the advantage of a slotted fastener, w/o the aggravation of the tool being able to slip side-to-side. In fact: With either one, you can frequently release the tool completely (depending, of course) and it'll stay put.