Interesting conjecture. But I suspect that given Gerty owned a fair number of Paul Cezannes' works, it wouldn't have been too hard for her to appreciate and see the paring down technique that Paul had introduced into his latter paintings.
From that perspective, it is not beyond the realm of possibility that Picasso having been invited on numerous occasions to dine with Gerty and Leo, may have found this a topic of discussion.
Sadly, the timelines are a little woolly, so who knows who ultimately influence who.
Ultimately it was the invention of the telegraph, telephone and related communications devices. These innovations (at the turn of the 20th century) rendered the whole world accessable to people and the boundaries of time differnences began to fall. One of the art historian put it like this: when you could talk to Paris at 4pm from Maine and it was 2am in France this was so astounding to the intellects of the time that the idea of simultaneous events (regardless of distance) began to emerge. Thus, the cubists did their best to portray the simultaneity of all events in their work. The results were varied but you may have heard of Marcel Du Champs' "Nude Descending The Staircase", a cubist work, and the criticisms that came from the American camps calling it "an explosion in a shingle factory".