It is a limitation of a PWA. A native app (wrapper) will likely be coming though, and a custom Capacitor plugin could theoretically interface with the native API to switch out icons. Theoretically. No promises though :)
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Some functions are not open to PwA such as tap top of the screen to go back to the top, icon swapping, updates without deleting and re-installing (which deletes all you preferences) and some other iOS API functions.
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