Yeah, I get that I'm being impatient and using my own interpretation of next day but when all the decent couriers (UPS, TNT, DPD, UKMail, ParcelForce) get a package to you basically pre-early afternoon and Amazon's own delivery service makes that experience worse then it grates a little. I'd happily pay more on my prime subscription to go back to getting Amazon deliveries with DPD.

I'd argue that's next evening service, next day implies it'll arrive in the daytime to me.

This is because your interpretation of 'day' is of being a subcomponent of a 24 hour period (which probably also includes 'evening' and 'night').

The definition Amazon and every other company offering 'next day delivery' is that 'next day' means 'the next day'. As in the day after you buy the thing. It's a much more reasonable interpretation of the term because it's not open to colloquial misunderstandings (in your interpretation there could be day, evening, dusk, night, etc.). Is 5pm day? Is 6pm day?

If I'm ordering from an office that closes at 5pm, then no 6pm is not 'next day'.