In a previous job, I joked about people wanting to increase Nagios check_ping thresholds to over five seconds to reduce the volume of alerts.
I replaced Tinc with Wireguard, and I think *I* misconfigured something, but I am seeing some bizarre ping metrics from check_ping, I think the biggest one has been 17.5 seconds.
(Running check_ping in a Germany datacenter to a wireless access point in Barcelona in a domestic ISP connection through Wireguard.)