I don't agree with you there. They have basically done a 1/3 running bond in block, you can do a stack bond quite happily but you need bed reinforcement, not due to the load, but due to the vertical strength.
If this is a habitual room I would think about getting them to take it down and start again, if it's just an outbuilding like you said I would not worry about it if you got it at a cheap enough price.
I don’t think the cost is a question for me, how difficult is it for 1 to ask for money to the job right.
It is not a habitual room but I don’t think I’m double blocking for it to be a shoddy job.