I agree with this, development of jet aircraft would go smoother and maybe a little quicker than OTL but actual deployment of jet aircraft would probably be a little slower than OTL.I believe that I read that one of the biggest technologic challenges to the jet engines was getting the metallurgy correct. Because of the extremely high temperatures the turbo fans would fail after as little as 6 flight hours causing catastrophic results for the plane and pilot.
Because of the dire straights of the Luftwaffe in OTL, the jet was rushed into service prior to being a reliable weapon. Due to the peace between the Allies and Germany I don't see the rush to "get ahead" when German cities were not being bombed. I would say some would enter service towards the end of 43 but you wouldn't really see entire squadrons until mid to late 44.
I am not an expert on this subject, but based on what I've read this seems a reasonable time frame.
Ironically ITTL jets would most likely enter service at the earliest mid 1945 but they would be more reliable aircraft than those of OTL IMO.