As I understand it, Stroms (both Wee and Vee) just need a good quality 10/40 oil.
You can use car oils if you like, but you mustn't use any with friction modifiers or, "eco" oils as these may do the clutch in.
Better to use motorcycle specific, but no need for fully synthetic, semi or even regular "Dino" oil is fine as long as it meets the required specs.
I was in our local Hein Gericke the other week, and they had their own brand oil at £13.00 for a 4 litre container, I'd be quite happy to use this, and it's a good price.
Just my tuppence worth.