Are you sure of your rules interpretation there Nerhesi? The key paragraph seems to be
The amount of Thrust required to increase or decrease
the Range Band between ships by one category, up
or down, is shown on the Ship Movement table – the
Thrust listed is the amount required to move from that
Range Band to either the next closest or next most
distant. A ship can spend Thrust over multiple rounds to
close or open a category.
So getting out of Distant range band is 2 rounds at best possible speed Thrust 25 at TL15. It takes 50 thrust to close from Distant to Very Long, so even if you have 25 thrust, it is still going to take you 2 turns (and for many thrust drive builds 3). To move out of the Very Long range band you need thrust 25, which again for the absolute best possible build at TL25 is going to take a turn in itself. Because it takes all of your thrust 25 from moving out of Very Long range, you only end up in the Long range band. Then, and only then in the next round can you move from range band Long to any other inside that i.e. up to Adjacent.
That is at top TL15 speed at best it will take 4 turns to close from Distant to Adjacent.