Full disclosure: used to work for Alphabet, and while I seem to recall the sexual harassment training on this pretty well, take my word with a huge grain of salt.
Google has a pretty open-minded approach about relationships: you won't get fired for starting a relationship with a report/manager, but you are required to disclose it to management and take the appropriate steps to fix the power imbalance. Moving the parties to two different teams is one of the suggested solutions. I could see that being hard to achieve if you are in the board of directors, but it should work for the vast majority of employees.
So my guess about this "inappropriate relationship" was that it wasn't reported and the proper actions weren't taken. I hope for everyone involved it was consensual and just an indiscretion, rather than something more perverse being at play.