I am going to throw a spanner in the works and say go with the Panny.
And I say this as a Sony vw1000es 4K owner who also has a Panasonic ae2000 and has compared the two projectors over the best part of a year and a half with a wide variety of different source material(not just performing test patterns and light readings for a few days).
Things that the Panny has going for it:
Excellent colour gradation....... the panny rivals and at times even exceeds the mighty Sony(which does have slight banding issues anyway) in this department.
Quite frankly.....if the Panny can handle the Sony in this regard.....then I am sure it can best a more humbler JVC or an Epson.
0 pixel structure thanks to the smooth screen tech.Some say this softens the image but it also helps to deliver a very "filmic" look.
Any material that is derived from 35mm stock---old or new)and has been mastered in the appropriate way on BluRay(i.e not too much DNR) looks fantastic on the Panny.The Sony with its agressive reality creation upscaling can sometimes be too harsh(i.e revealing the original grain structure) on this type of material........this is not the fault of the Sony....it is merely accentuating the limitations of the source material itself.
The Panny excels here by providing the same effect as an analogue/emulsion photochemichal film duplication process would do .......as you move from original negative to interpositive to internegative to theatrical release print you get generation loss(what you lose in grain and (some)detail you gain in smoothness and eye pleasing texture.
Think of it this way:
The Sony is the equivalent of seeing a 35mm raw negative.
The Panny is the equivalent of seeing a good 4th generation 35mm release print(and some film makers have released movies with this generation loss in mind----especially older films which featured heavy optical compositing)
Movies that have been captured using digital cameras(Arri Alexa,RED or the Sony F35 ect ect) have an intrinsic sharpness to them and it is here where projectors with higher contrast ratios than the Panny such as JVC may offer a percieved increase in sharpness,
But make no mistake the Panny is no slouch here either......it reproduces this type of material very well too.
Panasonic have always delivered remarkable quality at competitive prices.
If the Ae8000(which I have not seen---but have read the reviews) has continued in the same vain as the earlier models then I can see it being excellent value for money.
By the way ......dont forget that some film hollywood makers use the Panasonic projector line in their grading suites: