The imersat track is shown as an Arc if transposed onto a globe does it become a direct great circle track as normally flown?
No of course it doesn't!
A Great Circle track is a 'segment' originating roughly from the centre of the earth.
These arcs are segments exactly centred at the satellite sending and receiving the 'pings'.
Don't worry, you are not the only one who is having difficulty understanding what these arcs are and why they are not going to add much to the search for either a track flown or the final destination.