It's accepted that bottle jacks (and those much worse scissor jacks) have their limits mainly due to the fact that the base of the jack cannot move as the car is lifted. However the issues this sometimes causes can readily be seen by the operator as the car rises who can then take the appropriate action. If they choose not to and the car falls off, it's not the bottle jack's fault.
I realise that any interest of changing a wheel on a fully laden heavy vehicle will be mighty limited on a Mini forum but a bottle jack is just about the only tool that can be used in a roadside breakdown situation and those vehicles aren't falling off those all over the place unless they are being used dangerously. Bottle jacks can also be used to change a trailer wheel for those of us with pre-1998 Minis that can legally use a towbar.
On very light vehicles like Minis side jacks and even scissor jacks are a possibility but I'd personally never lift or prop a Mini on any other part than the subframes without something to spread the load over a large surface area which you won't have at the roadside.
Bottle jacks can be also used for other purposes in the workshop due to their compact dimensions.