The EU has no real reliance on US military might. Russia has been shown to be a paper tiger and the EU can use Ukraine as a proxy to cripple Russia while keeping their hands relatively clean.
Sadly not.
Russia went into the war with armed forces that turned out as you say (possibly except the nukes, hard to tell unless they attempt to use one); the war forced them to develop substantial drone and anti-drone capabilities that the EU nations are not yet in a position to counter.
I wish you were right, but look at Ukraine's desperate requests for Patriot missiles and Switzerland letting the US screw them repeatedly to get F-35 and Patriot.