It most probably is different. There was some guesswork on this thread that you commented on a while back:
https://bobistheoilguy.com/forums/threads/toyota-vs-lexus.353837/#post-6092795
I would like to send some samples off to a lab for analysis one day to find out.
Not sure I follow, I'm talking about the manufacturer approvals, many of which are incompatible, to the extent that no additive packs exist that can meet certain combinations of specs. You can't have a single oil that meets them all, and there are at least one example of a Euro oil manufacturer who was investigated and got in trouble for claiming their oil met multiple VW specs. Here in Europe, the reputable manufacturers will have a VAG 501/504 oil, a DEXOS oil, a MB oil, JLR etc. but its rare to see anything that says Toyota/Lexus or Asian vehicles.
I know Toyota doesn't specify anything other than ACEA / API or ILSAC depending on vehicle/market, but the fact that the others do and some of them conflict, it makes it quite difficult to know whether to pick up the VAG bottle or the MB bottle or the Volvo one - hence the dealership oil, whether its made by Total or Mobil1 seems to be a safe bet.
To share a clear example, the Mobil1 oil match webpage returns a particular oil for a Toyota Auris hybrid (same powertrain as Prius). This is what it returns:
Note that these are all/mostly aimed at after emissions systems like DPF or GPF compatibility, which is incredibly important for European light duty diesel cars which basically all have DPFs now. None of those requirements apply to our Toyotas/Lexus, nor does it apply to Honda, Suzuki or Mitsubishi.
source:
https://www.mobil.co.uk/en-gb/product/mobil-1-esp-x2-0w-20/