Realistically, if your image is on the lower-end of the dimensions (less than 2k, which generally covers resolution with the width 2000px on 4:3 ratio), you should be fine with a handful of them. Keep in mind 2k is super HD and already considered as “great quality” when it comes to media design, while 4k is industry standard grade.
Perhaps you’re an artist and draw in photoshop or other programs? What you usually draw should be fine to put in a single page of stats screen. My other input would be it could be hard to navigate a screen full of large images.
And so the good 'ol advice applies here: put up a demo and let the community test it.