You are very right about virtually everything you said I fully agree with all your point except the first part of your statement, which you said helping the poor was never Bitcoin main goal, it might not be the main goal but it was still out of the pity he had for those who are being exploited by third party financial institutions that made him create a system that will cut all manner of cost in order to save money for these people.
Bitcoin's cost effectiveness was always a secondary consideration. It was just one of those things which happened to work out with Bitcoin's decentralization at the time. Things have changed since, and it's not even always true nowadays anymore with fees surging every now and then. The poor can't afford to wait for fees to go down to spend.
When people say Bitcoin can help the poor, most of them really mean that the poor can hold some and wait for it to appreciate; not for financial inclusion or actual utility. It could still be a cost effective means of transferring large amounts of money, but that use case won't alleviate poverty, just like having access to banking services won't automatically alleviate poverty.