Biggest drawbacks right now are around Lightning receive privacy and the difficulty of non-custodial Lightning Addresses, but the traction of Nostr will put serious positive pressure on the improvement of both, I hope!
Another big issue facing Nostr is the plague of custodial LN wallets being the first to support LN addresses, leading to the vast majority of Nostr users that I've seen so far using custodial wallets to receive Zaps.
Need more focus and education on non-custodial LN!