What a pickle. As a company, they misrepresented their side of the negotiation. Either they really can't use metric or they are late for some other reason and are using this as an excuse. Perhaps the people involved are nice, but if a company is going to be a legal person, this one is not a nice person.
Often the contract is so large or so far behind, SCM can't move the contract elsewhere so it gets taken from the engineering budget to make what SCM did look OK by making what will be called 'easy changes.' It means a chance for engineering to add errors during this rush to save the outside firm, but SCM gets to look good in saving a bad situation and then it's engineering's fault for any delays due to any errors. I hate that.
If someone, up front, said 'we can save $XXXX and it will cost $YYY to change the design, so let's change the design', that's OK. Unless it really takes $YYYY to make the change over the $YYY budgeted. Free overtime! Yeah! So SCM can golf on Friday afternoon.
But come in late and then make this suggestion? That's not OK.
Please, save the middle finger for filling job applications. Waving it around with the other fingers on your way to a new job will feel much better than waving it alone on your way to a new job search. I know you know this. Just reinforcing the thought.