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each have internal inductors to load the antenna output, so the loading coil on the SSTRAN Antenna plan would add another inductive load which would be far too much inductance.
Strictly speaking, many Talking House models do have a second external antenna connection that does not use the internal inductor, for the purpose of using a Talking House “external antenna and matching circuit” sold separately.
That connection could theoretically be used for the SSTRAN Antenna but then it is likely the unit would not meet its FCC certification requirements and it would be a non-certified experimental transmitter – like the AM25.
The last time I saw an AM25 schematic I don’t remember seeing any internal matching circuits, so the SSTRAN antenna could be useful.