This isn't difficult.
A LBFO is an offer from the Company and then no further negotiations are going to take place. It's a take it or leave it offer.
SOB asked for a LBFO by the 30th. UPS gave him an offer on the 30th. The Union turned it down. UPS asked to keep negotiating and that they would have a deal by July 5th.
Since UPS was still willing to negotiate, it was not a LBFO. It was an offer that SOB turned down.
On July 5th, negotiations broke down. UPS said the Teamsters walked away and that they are still willing to negotiate. That means they never gave a LGFO. SOB can ask for one all he wants. UPS does not have to give him one if they don't want. As long as they are willing to keep negotiating, there was no LBFO.
And if there is a handshake agreement before Aug 1st, that is a tentative agreement negotiated between UPS and the Union. You seem to think the Teamsters should strike when there is a tentative agreement, that just needs member ratification.
I don't care what SOB may have said, or may have changed his mind again. He was telling UPS there will be no months long extensions like there was in the past. Have a contract by Aug 1st or we walk. A handshake agreement is a tentative contract.
You're splitting hairs about whether SOB said it has to be approved by the union, and the members, before Aug 1st. If you want to strike when we have a tentative agreement, go right ahead.
If we do not have a TA before Aug 1st, and SOB extends the current contract while they continue to negotiate, then, and only the, can you bitch about the same old same old.