Wrinkly cactus - under-watered?

I have noticed that our cactus has started to get wrinkly. The internet says that it might be underwatered - it's soft but not mushy, and a little deflated. But I'm not convinced, as my wife thought she overwatered it last week.

Does anyone have any ideas on why it's getting wrinkly?

https://preview.redd.it/y14lnr931uz81.jpg?width=3024&format=pjpg&auto=webp&s=7ba09035c6ba417db9bec2e2e2a1a33f1a985a90

https://preview.redd.it/iect6bp01uz81.jpg?width=3024&format=pjpg&auto=webp&s=fc00aff6471f9d6a248d13beed513733af1bb9a2

https://preview.redd.it/4f5j4dmz0uz81.jpg?width=3024&format=pjpg&auto=webp&s=20732fe866d23843910e3acece781d17aa996ac0