That’s the most sensible suggestion. Sam’s Twitter one-emoji bio is uncharacteristically brief, and points at an ongoing conflict. Eric Schmidt would know about it, and defend Sam. The foreigners CxO would likely be kept in the dark.
A Star of David emoji is not the same thing as an Israeli flag emoji.
Either way, someone smart and ambitious, described as “a smooth operator,” probably wouldn’t lie to his board unless he signed a document telling him to. At least, that’s worth considering.