You get no change on mobile devices for a desired setting? Are you using W3 Total cache plug-in?
Have an issue with the lightbox types or any mobile specific settings or mobile presets? As in only one type of Lightboxes for all devices, despite the lightbox setting?
Go W3 Total Cache settings, “User Agent Groups” page. Tick “Enabled” for the first group there.
It does keep all benefits, as it just creates a different cache. It’s not an exclusion.
For exclusion see W3 Total Cache settings > Page Cache > Reject User Agents