I think the "problem" here is with overall early jet planes.How about a direct road from prop CAS to jet CAS?. Despite people here think, Ju 87 is a CAS plane because you can give support to ground troops; or is dropping a 500 kg bomb not support? tell that to the french or british.
In the end, it doesnt matter what you think is cas or not, because the reality is beyond question. There were plans for CAS jet powered irl (Me 262 with bombs, Hs132...etc) and it should be open for develpment if you want. No, having big guns doesnt meant CAS aircraft, because then only 2-3 planes in whole ww2 could be classified as a close air support. Yes, any ANY plane with bombs or big guns can do the CAS role, and that means fw190, bf109, a6m, hurricane, ki 43.... also can be considered CAS if there are variants of it designed for it and used in that role.
There is no logical reason for not having CAS jet powered. None.
They had a big advantage but were on the other hand also problematic in other fields compared to the piston engines ones.
Refering to CAS it is maybe notworthy that GER tried to restart production of old Hs-123 biplane midwar, because it was of better use on bad airfields.
So Ju-87 was usually better, but the old plane had in bad enviromnents still advantages over the newer one.
Same would/had happen to jet powered planes.
To reflect this a new unit type for each old type would be useful. So you could upgrade your wings to that new plane wich would come with diferent stats. Be it initially better in some fields, but also weaker in others.
For CAS that could be shorter range, higher cost, higher attrition(need more maintenance) but would also have higher speed wich would make it harder to shot down by planes at least, so better air_defence. Lower armour would be lower surface_defence.
By that approach, you could still produce old piston engine types, and also the new jet ones.
More research would then let the jet ones get better and better and render the piston ones obsolete for most usage after a time.
So we would have sort of progression that also happend historically.