In these scenarios priority emergency clearance isn't going to help the pilot. If ship has .1% hull, no shields, no repair limpets, no AFMU, bumping the mail slot or slamming into landing pad will still destroy the ship regardless of the Emergency Priority given. Going faster isn't going to help.
Except the pilot requested - amd was theoretically granted - priority docking. So simulating repair crews without physically simulating them, possibly fines and definitely damage could be dev magicked off in a 'granted, this is an emergency' scenario.
Going a bit further it would also be plausible in the game world, that ships with little or no rep with controlling faction might queue longer, while allied ships get to dock / undock first, prioritised by ATC as almost a secrurity measure.
So I wouldn't rule the idea out myself. There may be higher priority things to put into the game before this one (there are) but it doesn't mean it couldn't add more colour and nuance at starports in the longer term.