ROTFLMAO. Thank you. We are getting closer.
When trying to sell its Mirages, Dassault used to "fire by all tubes" that is, to propose many options to please the customer. By options, I mean every Mirage
airframe he had on hand at this point of time, or even refurbishing old airframes in storage.
For example, to the Israelis long range strike requirement of 1965 he proposed
- a stripped-down Mirage IV
- the Mirage F2
- and finally he got the a deal with the Mirage V
So I think it possible that, trying to sell a tactical fighter to the RAF as a Hunter successor (against the Phantom), he made two separate proposals
- first, a Mirage F2 (whatever the engine, I don't care about the engine !)
- later, a Mirage III with a Spey. It might have been a straight derivative of this bird I already mentionned, the Mirage III-T.
The bottom line: one TF-30 is worth two J79s, even with less thrust, because as a single turbofan it burns less fuel, and the airframe can be smaller, and more streamlined. Hence any Spey or TF30 Mirage, if big enough, can beat a J79 Phantom
(of course you British rammed two Speys into a Phantom airframe just to piss off Dassault, but that's another story !

)
It is really a matter of engine diameter.
The Atar was 1050 mm (and so was the M53 !), a Spey is 1092 mm, but a JTF-10 / TF30 compressor is 1200 mm wide. Curiously enough, the J79 was 980 mm only, but was far hotter than an Atar, that's the reason why the Kfir was such a tight fit.
So, the standard Mirage III *ass* was tailored for a 1050 mm Atar but could eventually take a 1092 mm Spey.
BUT
As you can see, the 1200 mm wide TF30 was really at the extreme end. Still they managed to do it, and the Mirage III-T was born, but it really flew like a load of bricks - compressor stalls, mach 1.4 in the good days.
Thus, when the Mirage F2 fuselage was created, from 1963, it was designed from the very beginning for the 1200 mm wide TF30. Hence one could very well slide in place a 1092 mm Spey or a 1050 mm Atar into such a large *bottom*
The fuselages were NOT the same: the Mirage III-T was really a stock Mirage III airframe straight of the production line and heavily modified, and it didn't worked at all.
By contrast the Mirage F2 was designed, from the very beginning, for the TF30 - including much larger air intakes, air intakes having been a major issue on the III-T, they were redesigned many times because of compressor stalls.
You can see that while the Mirage III-T really looks
obese, the Mirage F2 has a more balanced look. The virtue of being designed with the right engine from the drawing board on.
The Mirage F2 was not a Mirage IIIB fuselage with a different engine and swept wings. They were different airframes from the beginning. Even the canopy is different.
(and now my post sounds like Biggus Diggus speech from
Life of Brian.
He has a wife, you know. She is called... Incontinentia... buttocks
(unfortunate guards explodes into laughter and are send dying as gladiators)
Oh well...