Not sure, why wouldn't they allowed - it's not up to them at all.
You've up to 7 days for the inspection & accepting car delivery and you can spend over 50 hours doing that.
However, if YOU make a mistake then they're done with you. They'll try their level best to push you out of showroom the very second you get the car keys. No inspection, no satisfaction, no nothing, whatsoever. Period.
The trick they pull off is, when you'll reach dealership to get the car, a suited-booted guy will get you sign the paperwork first and then they'll show you the car.
Next time, please read those papers before signing them & inspecting the car.
Those papers are legal/procedural documents indicating that YOU've given your consent that you've inspected the car AND dealership has helped you inspect the car AND you're satisfied with every single thing. Dealership also get you to sign the review/feedback papers of the dealership guy who is assigned to you until you receive the car.
You suppose to check the car first, match chassis & engine number with the provided docs & if you're satisfied then you need to sign the document.
Also, you can ask them to move the car to the service center for the sake of checking & dealership will even legally bound (by Indus rules) to allow you to let them use their workshop tools for the car inspection so you can even jack your car up, too. They can't object on that.
This is true for both Toyota & Honda that I've experience of.
However, if you sign the papers without looking at the car first, then there's no point in inspection as you already have signed the document.
You should never ever sign the papers without reading them first.
Listen to Sunil Manj explaining an incident of Fortuner showroom-delivery with painted door. So in short, pre-inspection is important
Amusingly, same scene is on when, God forbade, you go to claim your warranty in case of malfunction. They get you sign the paper first and then they start working on your car.
