as above, you have to watch the weight. i’m guesing if they are big they will probably be porcelain(although you can still get large ceramic) and pretty much most porcelain tiles are over the weight that you are meant to tile onto plaster. i think its about 23kg sqm and you also need to allow for the adhesive in that which you’ll use a lot of on big tiles on uneven walls.
in the past i have gone over the weights a little and its been ok but if its a paying customer i’ll refuse to do it and knock the plaster of back to the solid wall.
if you did want to just straigten the existing wall the best thing to use is a rapid setting tile adhesive preferbly non flexible so it doesn’t slump to much. and prime it with a proper primer not pva.