the problem is the initial block download/verification (first sync) and the propagation and verification of new blocks.
the synchronisation is not a problem.
Yes, NOW it's not a problem. But with blocks 10 times bigger and a blockchain 10 times heavier it will be. And really ... real big blockers don't conform with 10 MB blocks, they want 32MB or even 1 GB to handle billions of users on-chain. That's complete madness. Let sidechains do that for us
the actual headache is that cores UI is not set up to function until synchronisation is complete.
That's a minor problem. While a "Lite" mode could be desirable (some altcoins already have something like that) you always can use a SPV wallet for your urgent buys/transactions.