John Fairbairn wrote:
if intelligent aliens exist on another planet, the game they would play would be go.
For a game to be reinvented remotely, several game design decisions have to be made. Go (with some reasonably simple ruleset) requires a comparatively small number of such design decisions. Simpler games, such as Tic-Tac-Toe, require even fewer so their reinvention is more likely. To invent Go, a sample design decision is the place where to put stones / assign colourings / denote marks: on facets, edges or vertices of a graph, possibly mixed. If aliens shared a particular objective of game invention with us, they might make the design decision of creating a game that is interesting due to its demanding complexity of play. Although this raises the likelihood of reinvention of go, there could be countless of complex games even among those with a comparatively small number of such design decisions.
For these reasons, Laskers statement is not particularly correct. Instead, we have to presume a context in which he might have been thinking. Given the mankind's non-trivial games known to Lasker, which of them would be the most likely to be reinvented by aliens? We know he knew Western Chess and go, but, of course, there are many others. Among these two games, it is more likely to reinvent go than Chess because go stones are designed simpler than Chess pieces: only one type instead of several (and even peculiar) types. (Each in one of two colours.)