> Go is regarded as the most complex board game ever invented I'm not sure that's an accurate statement.
"There is no widely played game for which an Elo rating system shows a larger measurable range of skill than Go."
This is a precise and measurable statement. The standard deviation of the Elo system used in Chess is 200, and the range from the best humans to rank amateurs is 14 times this standard deviation. When the Elo system was adapted to Go, the standard deviation was set to 100, and the range is 29 times the standard deviation.
The possible skill range, of course, measures something how complex the possible strategies are. And Go trounces every other game by this measure.
I think that gives Go a pretty defensible claim to "most complex strategy of any popular board game".