Evidently, all we can do is respond to what Putin does. One must assume that, if the West declared war on Russia, Russia would take specific military actions. Since Russia has not responded to sanctions with those military actions, Putin evidently does not view sanctions as a declaration of war, no matter what noises come out of his mouth.
This is the downside of constant prevarication for state leaders. If Putin ever truthfully tells the West where there is line past which he will respond with force, nobody will know he's telling the truth. e.g. Putin has repeatedly implied that instituting a "no fly" zone would result in nuclear war, but it's clear we can't trust that. It may be a lie. If NATO planes move in Russian planes may simply move out with no further response from Russia.