A lot of the ship tracking, aggro, etc is different from POTCO. It's probably not very easy to get it exact either. There may even be legitimate reasons for the hunters to super speed or "rubberbanding" towards you when spawning, changing a tracking target, or trying to catch up to you. Generally it seems that TLOPO hunters move faster than POTCO ones, however POTCO did have similar behaviors: Rubberbanding towards you, still moving when sails knocked down, etc. Personally, I'd have to do more research on TLOPO with actually knocking down sails, but from these videos it seems accurate enough from my own experience.
This video shows around 7:40 and onward removing most of the sails on a few hunters.
This video shows a bounty hunter switching its target to a ship with a non-hunter level bounty, this doesn't ever happen in TLOPO. However the movements somewhat mimic TLOPO in someways. Perhaps a bit slower in some cases, this does show some degree of rubberbanding though it seems.
Knocking sails down on nearly every ship.
Just leaving these here as reference for further discussion. I don't know enough if this is how TLOPO hunters behave as no one ever focuses on sails anymore. From my experience there are some differences (to be expected) but nothing blatant.