Your application of the above equations neglects the first discontinuity.

The first discontinuity (inside the source) doesn't
have any effect on the SWR on the transmission line.

The discontinuity is NOT "inside the source", it is at the source to coax
interface, and as such effects the VSWR that the source sees.

Tuners at the source present another discontinuity
and have no effect on transmission line SWR.

There are no tuners involved in the current example.

Jeff