A poster on Ye Olde Phillies listserv argues that Kimbrel has not been particularly overused compared to other Phillies closers, though he is older - in some cases considerably - than all of them
Kimbrel, 2023: 59 appearances, 57 IP, 13 back-to-back, never 3x in a row, never more than 1 inning.
Neris, 2021: 74 appearances, 74.1 IP, 18 back-to-back, 11 multiple inning appearances
Lidge, 2008: 72 appearances, 69.1 IP, 25 back-to-back, never more than one inning
Williams, 1993: 65 appearances, 62 IP, 21 back-to-back, 4 multi-inning.
Of course not all of those guys had perfect outcomes (let alone in October!)