The wider a tyre, the more difficult it is to obtain.

[night cycler]

Last winter I got three Armadillo all condition tyres 700x25 perfect. It seems you can by most makes of tyre at size 25 and probably narrower.

I have been trying to source the same Armadillo but with a 35 width.

Specialised now do quite a few variations of their Armadillo range.....

They have The All condition but not in a 35. The elite up to 32 and that is a folding tyre (unsure if it is the same spec regards puncture protection).

There is also the Nibus that is apparently available in a 35, but unsure how this differs in spec for puncture protection.

You have to take a couple of paracetamol before wading through all the details.

 

[Spiderweb]

I’m pretty sure the All condition Armadillo is only available at a max of 32mm.
The Nimbus Armadillo is available in 35mm and has the same Armadillo puncture protection strip within the tyre.

 

[SpokeyDokey]

Maybe broaden your search away from Specialised plus also consider 32mm - I have 32mm and 35mm Schwalbes and there really isn't any discernable difference in ride quality.

 

[night cycler]

That seems to match my findings spider Web.

I don't know why they feel a need to create a new name if there is nothing significantly different about the tyre.