Cecil Moore wrote:
The point is that the standing wave
current indeed does look like a sine wave with magnitude, direction,
and phase, and not as you implied, like an unchanging DC parameter
that just stands there.

Not a DC parameter. An AC amplitude. Like the I in i(t)=I*sin(w).
You plotted I as a function of position for your antenna standing wave
plots. It's the topic of discussion.

73, Jim AC6XG