Yes
The core (slug) inside this coil has a hole inside it. So it is much like a toroid.
I disagree.
The core in that nice low frequency RF inductor may have a hole in the middle of it, but, none of the turns passes through the hole in the core.
The core is simply a slug of iron dust or ferrite which can be adjusted in/out of the core to vary the inductance for tuning purposes.
What Ropa II is proposing (if I understand correctly) is very different.
In his model, the ferrite core is replaced by a plastic spool, just to make things easy to see and understand.
His winding on the outer diameter of the toroid core will have its inductance increased by the influence of the core material, in just the same way as your RF coil will be influenced by the slug of core material inside the former.
His winding inside the toroid core is effectively a one turn coil, because all it does is pass through the toroid core once.
The magnetic flux induced in the toroid will stay within the toroid, give or take a small amount of leakage flux.
The outer winding will receive very little of the leakage flux, thus a very small voltage will be induced in the outer winding.
However, as built with a plastic core, Ropa IIs model would make a reasonable RF transformer for use at say 10 to 30 MHz.
JimB