I am really curious...where are you getting your information from?
First off, I think calling the He178 a "stunt" plane is a little bit ridiculous...it was a pioneer in the field of turbojet technology and was the world's first turbojet powered aircraft to achieve flight.
I don't see why you're so adamant to point out the He178 was not a military aircraft.
It was never intended to be a combat aircraft. What it was intended for, was to prove the viability of jet powered flight and it did remarkably well, too. However, the RLM maintained the attitude that piston powered aircraft were adequate and jet development wasn't a priority.
Now, let's step away from Wiki for a moment and get down to some real information:
The He280 timeline is far ahead of the Me262.
He280 (Factory designation: He180)
First mockup and pre-assembly completed 1939
*It should be noted that from the beginning, the He280 had tricycle gear and a compressed air ejection seat system.
He280 V1 (WkNmr 0001) DL+AS
First successful glide test: 22 September 1940
First powered flight: 2 April 1941 - HeS 8 engines
First RLM demonstration at Marienehe airfield, 5 April 1941
He280 V2 (WkNmr 0002) GJ+CA
First flight: March 30, 1941 - HeS 8A engines
He280 V3 (WkNmr 0003) GJ+CB
First flight: 5 July 1942 - HeS 8A engines
He280 V4 (WkNmr 0004) GJ+CC
First flight: August 1943 - As014 engines (pulsejet)
He280 V5/V6
glide tests only (JUly 1943 onward), no engines available
He280 V7 (WkNmr 0007) NU+EB
First flight: 19 April 1943: Jumo004 engines
He280 V8 (WkNmr 0008) NU+EC
First flight: 19 July 1943: Jumo004 engines
V-tail concept trial tests flight on 29 September 1944
He280 V9 (WkNmr 0009) NU+ED
First flight: 31 August 1943 - BMW003 engines
Me262 (Factory designation: P.1065)
First mockup (plywood) inspected by RLM on 1 March 1940
*It should be noted that the first four airframes had conventional landing gear (tail-dragger).
Me262 V1 (WkNmr 0001) PC+UA
First flight: 18 April 1941 - Jumo210G piston engine (mounted in nose)
First jet flight: 2 March 1943 - Jumo004B engines
Me262 V2 (WkNmr 0002) PC+UB
First flight: 2 October 1942 - Jumo004A engines
Me262 V3 (WkNmr 0003) PC+UC
First flight: 18 July 1942 - Jumo004A engines
Me262 V4 (WkNmr 0004) PC+UD
First flight: 22 April 1943 - Jumo004B engines
(tested by Gen Lt. A. Galland)
Me262 V5 (WkNmr 0005) PC+UE
First flight: 26 June 1943 - Jumo004B engines
First tricycle gear airframe
Me262 V6 (WkNmr 130001) VI+AA
First flight: 17 October 1943 - Jumo004B-1 engines
First fully retractable undercarriage
Demonstrated for Hitler at Insterburg, 26 November 1943
Me262 V7 (WkNmr 130002) VI+AB
First flight: 20 December 1943 - Jumo004B-1 engines
Me262 V8 (WkNmr 130003) VI+AC
First flight: 15 December 1943 - Jumo004B-1 engines
First fully armed version - 4 Mk108 30mm cannon
18 April 1944 sees 13 pre-production (Me262A-0) units completed
And we'll end the statistics at this point.
So now, let's recap on this comment:
...The He280 was presented only in late 1943 when the Me262 was in the process of being introduced...
How is this possible when the first He280 airframe was being glide tested in 1940 at a time when the only Me262 in existence was made of plywood?
Also, if the Jumo 109-004 was given major funding, then why did development languish?
There was continuous meddling by the RLM, in particular, Hans Mauch of the the RLM's "Engine Development Bureau". The Helmut Schelp, who replaced Mauch, ordered several changes, which set back the engine developers yet again. And it was during this confusion that the RLM ordered Heinkel to abandon work on the HeS 30 (which was developing well and showed great promise) and instead, work on the HeS 011.
So let's look at the turbojet timeline here:
Heinkel
HeS 1 - first test: 1937
HeS 3 - first test: 1939 (first flight: 27 August 1939, He178)
HeS 6 - first test: 1939
HeS 8 (109-001) - first test: 1940 (first flight: 2 April 1941, He280)
HeS 30 (109-006) - first test: 1940
HeS 011 (109-011) - first test: 1943
Junkers Jumo 004 (109-004)
004A - first test: 1940
004A-0 - first flight: 18 July 1942, Me262 V3
004B - first test: 1943
004B-0 - first flight: 22 April 1943, Me262 V4
BMW BMW003 (109-003)
003A - first test: August 1940
003A - first flight: November 1941, Me262 V1
003C - first test: 1943
003E - first flight: 6 December 1944, He162 V1 (note: 003E was designation for mount modifications)
And even Porsche was in the process of developing a turbojet engine (109-005), but it was a little late in the game and not much came of it's development.
So we can still see a difference in your timeline and what really happened.
Hopefully, these figures might better
help you understand the actual timeline of events!
Sources used:
Manfred Griehl; "X-Planes", J. Smith/A. Kay; "German Aircraft of the Second World War", A. Kay; "German Jet Engine and Gas Turbine Development 1930-1945", Jane's "Fighting Aircraft of World War II"
And all are highly recommended reading.