Motorbike fork oil is literally the same thing- Fox’s red oil is a bottle of Silkolene motorbike 10W oil with a different sticker on it (apparently the Fox sticker is pretty expensive; RSF is £10 a litre, red oil is £20 a litre). The green oil is torco medium, which isn’t so easy to find in the UK now.
When you’re using alternatives, the major issue is that no 2 products are exactly alike; you might think you could use any other 10W fork oil but they vary a lot. There’s a comparison here:
http://www.peterverdone.com/wiki/index.php?title=Suspension_Fluid
Though o’course, it doesn’t follow that what’s in there now is what you’ll like the most; I use a thicker oil in my revs to firm up the damping a little. There’s also other things like additives, seal swellers etc which i don’t know much about.
Lubricant baths are less picky; I’ve used diesel engine oil in mine, without any apparent drawback. But tbh with the quantities you use for a fork, it’s not really a big saving