The use of concrete for motorway road surfaces in the UK was the result of lobbying by the concrete industry in the early days of motorway construction - I think the government agreed that X % of motorway surfaces were to be concrete. I don't know what the cost of material and building are, but I guess that agreement would not have been made unless concrete and tarmac surfaces were broadly similar in cost.
The concrete surface is not totally satisfactory - smooth concrete would be bad for water run-off and provides poor grip, so it is ridged to allow for run-off and increase grip, thus the unpleasant tyre noise levels on concrete roads.
To move on to the actual question, I don't think you will find much poured concrete on pavements in the UK, although it is used for driveway access across the pavement. My access is poured concrete (recently replaced), but having seen the post, I notice that the house across the road has tarmac access. The pavement on that side is tarmac, on my side concrete slabs, with grassed verge to the curb stones.
My general impression is that in city/town centres and in older areas concrete slabs were used. Newer developments use tarmac pavements, possibly because they are laid at the same time as the road surface, making it a logical choice. Both are (usually - this is never going to be an exact science) supported by pre-cast concrete curb stones.
The traditional 3 foot by 2 foot slab fell foul of the Manual Handling Regulations (they are too heavy to be lifted by one person) although, obviously, many are in still in place. I am not sure what size is currently used, but it is probably about half of that. The large slab could still be used, although the vehicle used to transport and lay would have to be (small) crane equipped.
Laying stone slabbing is fairly skilled (particularly if you don't want to have to come back next month to re-align the lot) which may discourage use. Tarmac is (I think) quite easy, although you need the equipment to smooth the surface, which may encourage use.
Stone slabbing also has a tendency over time to deteriorate, producing hazardous trips where the sand foundation has been washed or worn away so that the slab can rock, resulting in an apparently flat surface surface suddenly becoming a 1 inch plus trip hazard. This has cost local authorities dearly in compensation payments in the past, but that has also resulted in higher standards of inspection.
I don't see it as likely that paving slabs in city/town centres are likely to be replaced with other than slabs, or a version thereof. I can see that in suburban areas, older worn slabbed pavements are likely to be replaced by tarmac.