Depends on whether you consider their equivalent to Stanton Glantz and Martin McKee “experts of the time”History.
Galileo did (allegedly) have a problem - he wrote 'Two New Sciences' under house arrest due to not agreeing with the 'acknowldged experts' at the time. The fact that we have hindsight on this doesn't change that?
His contemporaries are who you could actually describe as experts.
Tycho Brahe had been diligently cataloging the movement of heavenly bodies, Kepler built on that to form laws of planetary motion. Maths is the purest truth. They were experts - to the extent that Kepler had to bin his concept of divine shapes to describe orbits.
It’s not about hindsight, it’s about examining actual evidence.