The Jumo-004 and the BMW-003 were indeed axial flow but each had 1,800 lbs thrust, while the Avon had 12,000 lbs thrust so that can't compare. Plywood fighter vs. middle range bomber, which a Russian Comet would have been and I suppose there's an Illyusin version out there somewhere but it's not important.
The centrifugal compressor jet engine was put to rest, in world wars, in Korea by the J-47.
Certainly third world wars were fought with Nenes, Goblins and J-33's, et al, but that was already old technology when the British Government was selling it.
As our Secretary of State (whom I respect mightily) answered when asked why we were selling (lifting the embargo) on F-16's to Pakistan, which by the way we attacked the other day: "We are selling F-18's to India".
That's how it goes.