Consider Venn diagrams: the audience for these two homynymous products has small overlap. Further moderated when you consider term stickiness to respective meanings is only high for a small fraction of that audience.

In other words, most people aware of both can cope with a mutual name. And some may even think it's cool. Each name enhancing the other through association and analogy.

Overwatch is definitely the right choice. Consider the 'OG' meaning originates from military terminology. In this context, "overwatch" refers to a tactical position where one unit provides covering fire and surveillance for another unit as it moves forward or performs an action. The overwatch position is typically elevated or strategically placed to have a clear view of the battlefield, allowing the overwatching unit to detect threats and engage enemies to protect the advancing or exposed units.

This concept ensures that the moving or vulnerable unit can operate with reduced risk, as the overwatching unit can neutralize potential dangers and provide critical information about the surroundings. The practice of overwatch is a fundamental tactic in military operations, emphasizing teamwork, communication, and strategic positioning.