We know that you can Force-Project a tailored image. Want to be shown as holding a lightsabre that you don't actually have in your possession? Just do it. You're sat on a rock, but your image is walking around, so it's not like you need to have a Pacific Rim-like rig to soak up your outward movements and lets you translate those into your avatarial presence (translated, rather than up-sized in place).
Reskinning an image should be trivial (FCVOTrivial) especiqlly if it truly is someone else's link to create. Also possible, though less simple, is doing a full Man In The Middle reworking of the conversation so that each side of the abetted conversation actually gets a different understanding about the focus of the apparently-direct conversation, getting different 'feelings' from the interaction (at the pleasure of Force-Eve - or, rather, Mallory).
By the way, Luke's own actions show that Snoke could as easily have entirely faked his Throne Room presence. Either knowing/hoping how it would go down, or just rolling with the scenario as it progressed. Kylo didn't detect the subterfuge later (until it was obvious, and emphasised by one large and one personal attack 'failing') so he and Rey might well have missed a less obvious prior version, that was flavoured by the appearwnce of an attack' succeeding'.
(Not in reply to the message just above, where I just had to mentally adjust "RT" to Rotten Tomatoes rather than Russia Today, in my head, when reading the post posted while composing this unrelated reply.)