Yes, perhaps what he meant is that it was design by Satoshi to be a payment system. So it could be cheap in the beginning, but we all know that Bitcoin has evolved so much and now it is a store of value and assets.
But as far as the concern of OP regarding the transaction fee is absolutely right. As we can see there's a lot of threads about the implications of those ordinals clogging the network forcing the fees to skyrocket. And just imagine what it will bring to the ecosystem if we hit the bull run in the next coming years. Perhaps something needs to be done here uses LN, but not sure if that will be the solution to be honest.
If you are saying the “yes” in regards to being cheap, then I beg to differ. Bitcoin doesn’t have anything to do with being a cheap payment system. Did Satoshi mention in the whitepaper that this was his aim? I am not saying that the expensive transaction fee is perfect and what I want, but I know for a fact that the transaction fee wasn’t his focus or purpose of creating Bitcoin. If it was, then the concept of Bitcoin already failed long ago when these cheap transaction fee cryptocurrencies (like XLM) came in place. Bitcoin was aimed at decentralization, security, etc. let’s hope the fees drop anyways.