After all possible Bitcoins are created, won't transaction fees eventually consume all Bitcoins?

After all possible Bitcoins are created, won't transaction fees eventually consume all Bitcoins?

After all possible Bitcoins are created, won't transaction fees from miners validating transactions eat away from the total and eventually consume all Bitcoins?

Right now, because new Bitcoins are still being created, kind of like planned inflation, mining fees are adding Bitcoins to the circulation.

But after all Bitcoins are created, it seems that an infinite number of transactions would transfer all Bitcoins via fees to miners, self-defeating the currency.

I wonder if this problem, if real, is another reason why a little bit of inflation is a good thing, since some types of fiat currency transactions consume fees (e.g., credit card transactions) but others do not (cash, direct bank transfers, ATM withdrawals from member bank systems) or don't per transaction ( flat monthly checking account fees). It seems a little bit of inflation prevents fees from taking an ever greater percentage of a currency.

I'm skating on very thin ice with my limited understanding of Bitcoin and currency in general, and that's why I'm posting here.

Fees are a mammoth devil in the details of the world economy, maybe including Bitcoin.

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