Catagorically false!
You have to be there to filibuster. When a party tries to filibuster the other can call a cloture vote or a vote to end debate.
In this case the Dems have conceded they'd have no chance with either so they ran away. They know the rules. They just aren't playing by them.
Don't confuse parliamentary procedure with this unless you're prepared to accept the GOP passing all manner of other bills not requiring a quorum. (Or doing same if faced with similar minority numbers).
So, back to your analogy. Let's presume WI has the filibuster rule. May we presume the Dems tried and lost and therefore should be back in Madison? Or, is your analogy faulty?
The point of a filibuster is to stop debate (or to monopolize debate as Sen. Sanders showed recently). WI, lacking the filibuster, doesn't give this option to it's lawmakers. Noting this the dissenting senators decided to leave the capital (and the state to prevent being forced back) which would prevent a quorum thus achieving the same effect.
You don't filibuster when you have the votes, it's
meant to be used as a weapon of last resort by the minority. If you don't have the votes to kill (or pass as the situation may be) a bill and doing such is a priority, you filibuster to stop the vote and buy yourself time.
As for that last part, WI
doesn't have the filibuster which is why they prevented a quorum and as the protests are growing larger, they have popular support and some Republican supporters of the bill, having read it, are starting to reconsider. I'd say they are quite far removed from 'losing'.
But be a party line hack, your forum name suits you well.
