(It's actually impossible to create a bank that allows doing that; regulators won't allow it.)
Also if you think banks that support full withdrawals (and thus making bank runs impossible) should not exist, what percentage do you think they should support? 50%, 30%? Should they have enough money to at least handle 10% of customers withdrawing? The real legal requirement might worry you if you know the figure. I encourage you to look it up.
¹ https://www.chicagobooth.edu/review/safest-bank-fed-wont-san...
There were people trying to create narrow banks, but they were rejected by regulators, because ,,everybody would take their money out of current banks and put it there’’.
Also there is one narrow bank in Norway, if you have at least $50M, maybe big companies should think about voting with their wallets.
I have heard this "argument" before from people like Alex Mashinsky, who's accused of having run a ponzi scheme. One would think all customers being able to withdraw their funds should be the base minimum requirement any legitimate bank must be able to fulfill.