I've had my 6.7kW grid-tied array for about 3.5 years, long enough to be fairly confident that it generates between 90 and 95% of our annual electrical needs.
However, we heat with electricity (heat pumps), and so our array generates 3x what we need in the non-heating season, and 1/3rd of what we need during heating season.
In the first year, I paid very close attention to stats about the system. Now, I know if makes no difference, really. It doesn't matter when I run appliances, when I recharge batteries etc. Nothing is going to change the basic facts I've just mentioned.
HOWEVER ... jump ahead a little into the future. It is possible that it may make a lot more difference to a smart grid when and how I feed the excess generated power and suck the extra power I need, and they may well want more control over that. For example (as described in TFA), they may want me to have batteries on-site to hold the daytime excess and let it dribble back to the grid overnight. Or the opposite, because they have their own commercial scale storage. It's not hard to envisage a future that moves from "I (the owner) doesn't care much about timing" to "We (the grid) care a lot about timing".