I feel you, I was so discouraged early on and am grateful for such communal help.
I figure that if the TIEs follow the Falcon aaaaaand scene, the viewer would infer that Poe pulled further shenanigans to lose them (pushing the Falcon to her limits due to the FO’s new hyperspace tracking capabilities) as referenced when Rey chides him for lightspeed skipping. I got the transition to feel fairly natural to me, and I think I would have accepted it.