If that doesn't why not get all high dpi hardware
For the external monitor to have the same dpi as the laptop, it would need to be a 16K resolution monitor.
√(3840²+2160²)÷275 ≅ 16
Some monitors also have unusual dpi where they are HiPDI but don't suit 2x UI scaling. A very popular LG USB-C 4K monitor is in that camp.