This is common law Larceny
While some jurisdictions may have statutorily redefined larceny; it is a very old common-law crime.
For example, the common-law definition is still in use in new-south-wales (even though the punishment is statutorily specified in the Crimes Act 1900) and the first element of the crime is that "the property must belong to someone other than the accused".
The suggested jury direction from the Criminal Trial Courts Bench Book says:
The law differentiates in a number of contexts between possession, control and ownership. Each of those concepts can become quite involved and complex. Fortunately, in the circumstances of the present case, it is neither necessary for me to seek to explain all their refinements to you, nor for you to understand all of those refinements.
However, to give you but the broadest of examples: if you were to buy, say, an expensive diamond from a jeweller, assuming that it was legally [his/hers] to sell to you in the first place, then, the moment you took physical delivery of it you would own it, have the control of it, and be in possession of it.
If, however, you proceeded to place it in a bank security box for safe keeping, you would, for some legal purposes anyway, cease to possess it, although you would still own it and be in control of it. If a robber broke into the bank and took your diamond, the robber would then be in possession of it, even though you would, in law, continue to be its owner.
When I direct you that the property must belong to someone other than the accused, all that is required is that, at the time of the taking, it must be owned, controlled or possessed by someone other than the accused. Thus in this context, the law uses the concept of belonging in the widest possible sense.
The overzealous shopper both controls and possesses the toilet rolls even though they are owned by the supermarket.