Its likely that the extra scene will be included.
It was on the original BBC Video .
The radio broadcast is voiced by Jon Pertwee and Barry Letts thought viewers would e able to recognise him so it was edited out of the UK broadcast.
However,the complete version was shipped off to the US,so when the BBC in their wisdom scrapped the UK PAL tapes it was down to the US 525 NTSC tapes being returned that the story survives.
So the original UK version was wiped long ago.
The BBC VHS and the UK Gold transmissions have all included this bit extra.
What will be interesting will be whether their version of Invasion of The Dinosaurs will contain the extra 3 or 4 minutes in one episode that was shown by BBC Choice,or whether it will stick with the standard version.
Showing Frontier In Space seems a bit pointless as its connected to Planet of The Daleks which I assume won't be on.
As I said before ,most Nation Dalek stories are crap anyway,certainly in the Pertwee era.