The intel drivers is crappy crap. @sebas and @graesslin suggest to use the builtin modeset instead.
Testing suggests this is as trivial as simply having the driver not seeded (as mentioned in package description).
Unseeding should be done in such a way that a user can choose to install the driver manually. It should however not be pulled in by updates, nor installed by default.
@sitter says removing the driver switches to builtin kms which on an xps 13 solves all sorts of weird bugs to do with overlay painting (video rendering)