It doesn't come close to offsetting the far higher US skilled salaries figures compared to Europe.
When US university costs were far lower circa year 2000, that also didn't imply a narrower gap with Europe on skilled salaries. University costs are a phenomenon caused by the US Government destructively backing ever higher education loan increases, causing a spiral of fees by universities. It wasn't caused by higher US wages (which have existed for a very long time).
That is better explained by a simple fact: the US has far higher economic output per capita than Europe.
Before this decade is out, the US will double the GDP per capita of France, Japan, UK. Unless they all snap out of stagnation soon. It's not that the US is growing super fast, it's that most developed countries haven't been growing much at all for the last ~12-13 years.