Andrew,

Conjugate matching may be a very interesting subject and is indeed a much
discussed topic on these walls.

However, amongst the amateur fraternity, a "conjugate match" should be
classified as being off topic. It does not exist. Not even when the tuner
has been adjusted exactly for a VSWR equal to 1 to 1.

Why?

Because the internal impedance of the transmitter is not 50 ohms. It is not
relevant.

What is the internal impedance of YOUR transmitter? You will not find it
mentioned in the manufacturer's operating or maintenance handbooks. In all
likelihood you will not know what it is even if you designed and built the
transmitter yourself!
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Reg, G4FGQ