Yes, people will have to wait and download the whole blockchain, hopefully the bandwith will increase by that time. I would be more concerned about longer perspective, like 100 or 200 years, if our storage and bandwith technology will stagnate, eventually running a node could become a big problem, and the network would be slowly becoming more decentralized. Perhaps a blocksize reduction would be needed at some point in the future to combat this. But this is a problem for future generations.