SegWit will allow 4-5 tps. That will help some banks participate, but not many. If banks can't even use Bitcoin, who will?
Be your own bank. we get an extra 4-5tps written to the blockchain but the Witness data that get trimmed puts a 4X increase on the bandwidth needed by the network.
Even though it makes my cause look favorable , I have to correct you . Segwit gets us 1.7-2MB realistically, not 4x.
6.8 - 14 TPS
I'm not looking at the 1.7-2MB in block size but the extra Multi sig data that is transmitted prior to being written to a block. That extra data is putting more strain on the infrastructure for fewer transactions, and its giving a discount to those transactions what use LN and carry more data. it's a new economic policy favoring the off chain solutions at the expense of mining rewards needed to secure the network. I'm all fore it, but cost it on the broadcast tx size not the trimmed text size that's written to a block.