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If you look at Figure 4 from page 7, you'll see a chart that shows there is more space per node for transaction data.
Minimum fee isn't based on "goodwill". Miners don't mine for altruistic reasons.
Obviously they're different technologies, however the main purpose of their implementation is for reduced fees. There'd be no reason to implement these technologies otherwise
To say it WON'T reduce fees on BTC's blockchain without any justification is incorrect. "Graphene reduces traffic overhead by reducing block overhead" - from Whitepaper, by 10x less
Which is why big blocks already solve the problem for BCH. But for BTC, they can just as easily implement graphene as well, leading to 10x reduced fees on their blockchain.
BTCs lightning is an unworkable joke.