While it’s true the barometric pressure is included in the ATIS information every plane will get before landing, pilots also rely heavily on GPWS callouts when

While it’s true the barometric pressure is included in the ATIS information every plane will get before landing, pilots also rely heavily on GPWS callouts when landing and those are provided by radio altimeter and not the barometric one. It’s not an issue to land without them, and some approaches and emergency checklists require you turn them off to allow other messages to be announced without GPWS callouts taking priority - but it’s ideal to have them for sure.