I don't pay for next-day delivery because I'm not an impatient asshat that acts like a child (Is it nearly here yet?) when I buy an item.
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That's not really the poiht, though.
There are times when I'm happy to pay for next day, because it being next-day matters. One might be because, for a TV, your old one just croaked, expired, shuffled-off, etc. It is a ex-TV. Another might be that I'm going away in three days, so need something delivered before, or after I get back. Yet another might be that I'm going to be home tomorrow, but not the rest of the week.
Whatever the reason, companies don't have to offer next-day. And in the above situations, they wouldn't get my business if they don't.
However, not only do most companies offer it but they charge a premium for that specific extra service. So, if I opt to buy that extra service, and they accept the order, I"d feel I'm entitled to expect them to provide what they offered, and what I paid for.
I'm not anal enough to blow a fuse if, occassionally, something unpredictable goes wrong, be it van breakdown, motorway accident, computer stock turned out to be wrong and it's not on the shelf, or whatever. All those are easy to claim and if always true, suggests very poor van maintenance and hopeless stock control. Once in a while, okay. Regularly, not okay So, poor excuses, IMHO.
But I would expect two things from them. First would be good customer service, prompt resolution of the problem and at least some gesture of compensation, like redelivery of the ordered item at my convenience, and free next-delivery at no cost on my next urgent order.
Second would be that an occasional cockup is exactly that - occassional. It certainly is, in my opinion, the retailers responsibility to monitor the service level provided by the courier they choose to employ and if failure to delivery on time to me as a regular event, and they didn't address their courier problem, I'd address my supplier problem by buying elsewhere. When I've used sub-contractors for my clients, I am very clear that it's my butt on the line, my problem to handle, if they screw up, so I'm very fussy about who I use. I am not, however, in a 'pile it high, sell it cheap' game.
The flip side, of course, is that couriers with good customer service and reliability may not be as cheap as lousy ones. It is perhaps a sound businsss decision for a retailer to employ a cheap courier because it allows them to delivery an acceptable percentage on time, and helps keep costs down, especially when offering "free" delivery. And the hassle that results when it fails has to be dealt with then.
If my delivery experiences tell me that's that retailer's strategy, it also tells me to find another retailer. That's partly why, for TVs, I use a certain highly regarded department store, and have for the last several TVs. That, and a free five year guarantee and generally excellent service. Though, even they have cocked it up on occasion.