This is not what I read from historians about Poland at that time. So what is your source for this affirmation?
However, the US policy of publicizing any alarming event is... well a policy, so it's difficult to know the actual current level of danger for Ukrainians.
And what Ukrainians feel is nothing more. As quite a few commentators said, nobody knows what Putin's plans are today. He certainly had a plan when creating this crisis. Today he maybe doesn't know what to do anymore.
Putin is a super clever guy but that doesn't mean he had planned all scenarios like a mastermind.
OTAN's very unified reaction and Biden threats may have forced Putin to reconsider.
Nobody knows what Putin will do.