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Need to be careful with terminology here.

Conjugate matching guarantees maximum small signal power gain.

But power amplifiers are typically not intended to operate with conjugate matching (especially on the output). Typically a PA has an optimal load impedance Zopt at which it operates "optimally". What determines this "optimal" termination is up to you, the designer. But Zopt does not have to be the conjugate out Zout (the PA's output impedance).

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Can this actually affect antenna efficiency though? I don't think so, unless the path between the PA and the antenna radiates and acts as part of the antenna itself. I'm not an antenna expert though.