Should "live up to their name"(singular) in the below be replaced with "live up to their names"(plural)? The result of Google searching for each phrase shows the former appears twice often than the latter. I guess "live up to one's name" is an idiom, so the natives might prefer their name not their names. It comes at a news clip, https://archive.org/download/KNTV_20220611_013000_NBC_Nightly_News_With_Lester_Holt/KNTV_20220611_013000_NBC_Nightly_News_With_Lester_Holt.mp4?t=807/867&exact=1&ignore=x.mp4
-- Dangerous heat wave --
. . .
Earlier than normal and prolonged heat wave will be an early test for our aging infrastructure. As average temperatures get hotter it seems power grids fail more often. “Unless we really fundamentally rethink the way that we, uh, plan and design and operate our systems, um, it’s going to be more rolling blackouts, longer lasting outages, um and everybody’s going to feel more pain.”
Tonight cause for concern and an early test for the power grid, especially as cities like Death Valley live up to their name. Miguel Almaguer, NBC News.