Can't speak to wind, but I know off hand that solar and storage is cheaper than coal [1], and onshore wind is cheaper than solar at utility scale [2]. Offshore wind still has a premium, but is still coming down in cost.
Your link only has 4 hours of storage, won't even last the whole night. Also, solar in UK will perform significantly worse than in New Mexico, for obvious reasons.
It’s not meant to last all night, just to bridge the later hours between when the sun sets and everyone goes to bed (and load drops substantially). Europe has enough wind potential to power the world, its simply a deployment, storage, and transmission issue [1].
The New Mexico example was only to demonstrate that renewables and storage paired are cheaper than coal and nuclear, today.
That is deeply misleading, there are sometimes several days of little to no wind, you 4 hours of storage are going to lead to nationwide blackouts and bodies in the streets
Grid operators and generators aren’t going to decommission generation that’s necessary for grid stability if renewables, transmission, and storage haven’t proven themselves as adequate replacements. Tasmania (Australia) electrical supply is served primarily by hydro, solar, wind, and an undersea HVDC cable [1], and they still keep two gas turbines available [2] (one combined cycle, one open cycle) for meeting energy and ancillary service needs (but their run time is fairly low, if you look at the OpenNEM graphs).
Check out South Australia as well on those OpenNEM links below; they’re also close to meeting all of their electrical demand with renewables and battery storage (should be there in another year or two, rooftop solar uptake rate has blown away everyone’s expectations, to the point where the grid operator nervously expects there to be occasions where they might see zero grid demand [3]).
A rapid transition to exclusively renewables doesn’t mean a loss in grid reliability, simply a different grid configuration, occasional curtailment of renewables, and storage (hydro where available, battery everywhere else).
[1] https://pv-magazine-usa.com/2020/10/12/solar-plus-storage-re... ("Solar-plus-storage replaces coal plant in New Mexico, makes carbon-capture retrofit moot")
[2] https://www.lazard.com/media/451419/lazards-levelized-cost-o... (PDF, slide 3, center of page)