But how much of that power is heat and how much is RF?
With an SWR of 1000:1, the I^2*R losses are bound to
be pretty high.
=================================

Your question is not relevant. We are concerned only with the possible
high ratio of feedline radiation to radiation from the antenna.

If you are worried about transmission loss in the coax then that can
be reduced by transmitting at a higher frequency than 1.9 MHz where
the 10m dipole provides a better terminating impedance and SWR will be
lower.

With an appropriate line-length in wavelengths the coax can still be
forced into radiating better than the short 10m dipole.

But the conditions under which this occurs are NEVER those under which
the system would normally be operated.

Under normal conditions, eg., transmitting on 29 MHz, radiation from
the feedline is low enough never to cause interference to the
neighbor's television. If such an unwelcome event should occur then
it will be due to legitimate high-power radiation from the dipole and
your conscience will be clear.

Now Cecil, you can stop trying to pull my leg. ;o)
----
Reg.