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From what I understand currently bad VSWR would mean lower efficiency because the TL to the antenna would have higher insertion loss, however it shouldn't affect the antenna's operation but I was just making sure this argument is correct.

You're right, I think ideally an S22 of around -6 to -8 would be decent to get good loadpull matching with low VSWR causing no increased degradation of the packaging losses.

If the mismatch effect is taken into account when designing the PA then it won't be taken into account in the antenna's radiation efficiency from what I believe.

Thank you everyone for your help.