What would happen if you nicely told a customer "No can do"

I realize for many of you professional Drivers , waiting to be unloaded can be a time waster for you. I see where try to turn it around so if possible it can be time not wasted.
It would seem to me, that the customer needs what you have in your trailer.
What would the average receiver say or do , if when you arrive on schedule (a time they themselves picked) after you are told , sorry we won't get to it till morning (or w/e they say) if you simply said , I was given a time you asked for, and here I am. Iv'e done my job. I will need to leave within 2 hours,( I am being lenient i feel) I would like to leave you with what you had me deliver , but I will leave regardless. (put in your own words)

I just realized this is most likely for the O/O , otherwise you are paid to do what your company not the customer wants.
The reason I thought of this is , I need every single thing I have delivered. Once in a great while , I will have to ask the Driver if he can wait ( for whatever reasons). That is a rare happening. And never for a day or night like I know is expected of you by some.
I know if the driver told me , Im on a schedule, im here , but I can't wait. I would figure something out , so I could take delivery and the Driver would be on his way.

 

Ok, So it seems if you are O/O then you do what you want. Would it be fair to say, that these customers know who is O/O , and who is a company Driver, and that they just might take advantage if they think they can get away with it? If so wouldn't the Trucking Company be responsible for how their employees are treated ?
Thank You for answering. It boggles my mind that some of these customers have no idea of how to run a business. If they can't get a trailer emptied on the day they pick, how do they get anything done? Nothing is going to be perfect every time, but a little intelligence and common courtesy with respect is necessary.

 

I hear you and yes, you need to get moving. What a creep who is taking extra to do a job he is already getting paid to do.
I was thinking disorganization, unethical, I should have guessed money. Thank You for your answer.

One of my nieces is going to College to become a Lawyer, I am going to suggest she specialize for Truck Drivers.
She couldn't go wrong standing up for what is right.

 

This is good to know. I am learning a lot. Thanks