It's worth nothing that lattice/DAG based cryptocurrencies offer different security guarantees compared to blockchain based ones, so it's not fair to compare them on transaction fee/volume alone. Sort of like it's not fair to compare SQL vs NoSQL.
It's also interesting to note that Nano doesn't incentives miners.
If they prevent spam with proof of work, why couldn't someone just do the proof of work and constantly spam the network anyway?
Nanoblocks does serve some purpose in my mind, but it has major issues to solve, and in no way is a catch-all solution for the scaling problems that Bitcoin has.
[0] https://hackernoon.com/stress-testing-the-raiblocks-network-...
Regardless though, I can precompute the PoW for each transaction, so I could preprocess for a month to get a higher tps.