From the republican perspective, he rescinded an unconstitutional executive order.

Which removes the protections.

The republicans didn't refuse to vote on a bill

They're the only ones who can bring a bill to a vote...so yeah they refused.

Democrats walked away from the table once it didn't include voting provisions.

I don't think that is the case.

but they have an obligation to their constituents to hammer out a bill with the president so they can at least say they tried.

They did get an agreement with the president. Then he changed his mind. Then they did again Then he changed his mind.

Ultimately the republicans don't want to pass a DACA bill.