The change from 13" to 18"dia wheels is a really big one that barely gets a mention in that vid. F1 has been using high sidewall slick tyres since the early '70s and, cosmetically, they have contributed a lot to how we think an F1 car should look. Formula E cars look strange to me with those rubber band tyres.
Technically this change has a lot of knock effects as a large part of the suspension compliance was in the tyre sidewall, now it will have to be addressed at the chassis side of the suspension at the same time as technical restrictions are applies in that area.