It doesn't make anything infeasible today. But if you think both Bitcoin and Bitcoin Cash are going to be around in 20 years, and you want to support both, now you've just added 800% to your annual storage growth rate. (Assuming that BCC always mines full blocks, which I will admit seems unlikely)
I have to be honest, I was keeping a cold wallet with some ~1-2 BTC in it until the price reached record high territory in the last few months, and it took me several days to download the entire blockchain against my wallet.dat. I had to free up well over 100GB to get the coins out.
If I hadn't done this dozens of times already (when the blockchain was smaller) and had some degree of confidence that it was going to succeed and grant me access to the coins, I probably would have been freaking out as I reached about the 36 hour mark into the process.
I can't imagine it's going to get better in the next couple of years. Maybe "Moore's law for storage" will outpace economic growth in the Cryptocurrency sector, and in 20 years my mobile phone will be so powerful that it will no longer be a concern. That sounds like a bit of a gamble, doesn't it?