No, the wording in the UI just is a bit missleading, it is stated in the documentation though, that the old version of the agent keeps monitoring till the process is restarted and the new agent is injected.
Following Dynatrace OneAgent auto-updates, you must restart all server
processes, as some components of Dynatrace OneAgent keep running in
processes that are monitored by Dynatrace (for example, Java, .NET,
Apache, and IIS). These processes will continue to be monitored with the
previous version of Dynatrace OneAgent until they are restarted.
Following restart, these processes will be monitored with the latest
version of Dynatrace OneAgent.
So no PurePath are lost, it would be good though to modify the meassge to read something like
"... Please restart this process to activate the new version of the OneAgent:".