The standard jack has come under much criticism on here and alternatives have been suggested.
I have only had to change wheels on the two 322s and the 405 at home using my own trolley jack.
Visiting my daughter last week end I purchased for her a set of winter wheels and tyres for her 1 series BMW. As her car has no jack but the jacking points are the same I used the jack out of the 405, I was working on level concrete lifting a car that was about a ton lighter but still found the jack unstable.
I can only conclude that the jack supplied with the car is not fit for purpose. It amazes me that JLR are willing to skimp on such a safety related item, particularly in view of the likely lawsuit following an incident with one of your target audience customers.
This is a copy of what I have posted in customer care.
I was astonished that the spare wheel (full size) has to be removed before the jack can be got out.
Don't think there is space to store a suitable alternative but would have to be really desperate before using the jack at all. letters not necessarily in the right order

Yep, issue of the jack has come up several times on the forum. I used mine earlier this year to change a wheel and the winder handle bent due to the amount of pressure I had to put on the jack just to lift the car wheel off the ground and the scissor jack seemed to twist slightly aswell. LR replaced the lot under warranty , but in line with what you say, I think they need to come up with a more robust jack with twin scissors or something. The L322 one was the same . Not sure about removing the wheel first before getting the jack out as the only real reason I would want to use the jack was to change a punctured tyre and so would need the spare out anyway, that said , the hard bit is even getting the jack out/replacing it when the wheel has been removed, I end up getting into the boot just to put it away again, a cubby hole in the floor on the left or right side of the boot would have been better. Steve

Main car : FFRR L405 Vogue SDV8
Other car : Vauxhall Lotus Carlton
Past cars : FFRR L322 Vogue TD6 SE (Sept 2006 MY07) ; LandCruiser SWB ; 4-Runner ; Supras; XJS V12 LeMans