Yes, I can confirm a Puma Defender with TC and anti-stall can do this, although I stayed in the driver's seat, just in case.
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Anti-stall has been in more than the TDCi. Td5 has it.
And all prior had a Governor which did the same thing.
Anything driven correctly will do the job.
Crawl control was Toyota’s break-out version of Terrain Response functionality.
As for clambering out of sand - best tyres I’ve ever used in sand were Mickey T Claws. These were fantastic on firm and powder.
With a manual there is much more 'feel' as to what is going on,with wheel spin.
In an auto it is more difficult.
The later Pumas also had an uprated TC system compared with the earlier vehicles in the model run.
The Puma in my sig was amazing in soft sand,it just wouldn't stop,where the D4 struggled,mainly due to its weight,and tyres,i am guessing.
The Puma just trundled through,kept going like a tractor,where the D4 needed a lot more momentum to keep going.
Also i think BFG A/t's are not the best in sand,no matter how low the pressures are.
One of my brothers had a manual '86 Classic for years,it was fantastic in the soft stuff.No fancy traction aids.
..found some more info re the D4 sand setting..note kick the wheel feature..
"The next step was as simple as choosing Sand on the Terrain Response panel. After that, Land Rover does all the work. Just point and shoot. And brake, of course.
It backs-off the stability control to allow plenty of wheelspin to keep the momentum going, but if it senses a slowing of forward movement under the same power (as in hitting a boggy patch), it will 'kick' one of the wheels by a quick, sharp stab on the brake.
This forces the car to jump slightly sideways and give more purchase on the soft ground.
It’s an ingenious solution, and it works: the result meant we never even looked like sinking to the axles. It would have to be very hungry powder to bog this technology down. (And we still had plenty of air left in the tyres to lower pressures further, should the need have arisen.)
So, no problems in these conditions. Beach runs will never be a chore in this car."
I think one of the advantages Defenders have in sand is their very tall tyres, 235/85/16s.
I usually start by letting them down to 20 in the sand on Straddie, which makes the footprint much longer than would be possible with a low profile tyre.
The Hankook ATs we have seem good in sand, maybe better than a mud tyre which might be more inclined to dig holes like in mud, but on sand you don't want to dig holes, you want to ride up on top of the sand and compress it under the tyre.
The six-speed manual and low range also work well. In low range first I can walk faster than the vehicle is moving, knowing that anti-stall will just keep it chugging along without stopping.
I don't do extreme stuff, so I'm yet to find any situation, even when towing our camper, where a rear diff lock might have been an advantage.
So I find our Defender's high profile tyres, six-speed manual, TC and anti-stall to be very effective on sand.