I think what you write is true to a point, but there is a darker reason too.  Central banks need rates to rise over the remainder of good times so that they have some room to lower rates in the next crisis.

keeping track of the asymmetry of rate hikes versus cuts we have moved to what appears to be about parity. In 2015 when Yellen first introduced the issue it looked like a 25 basis point rise in rates was about equal to a 100 basis point drop,  as evidenced by the markets reaction and her backing off.

Central banks do not focus on bubbles per se either, or income equality.  Those are left to markets and governments respectively.

Markets stumble on average about every 7 or 8 years, and we are due.  Italy is in crisis.  Brexit is an ongoing crisis.  North Korea and the Middle East are not getting resolved. Trump remains a wild card.

Higher rates provide central bankers with the dry powder that they need to fight the next fight whatever that may be.