Delay of liveness probe relative to readiness probe

Question

Is it best practice to set the liveness probes initialDelaySeconds_livenessProbe >= initialDelaySeconds_readinessProbe + periodSeconds_readinessProbe * timeoutSeconds_readinessProbe?

Take for example the following

         readinessProbe:
            initialDelaySeconds: 360
            periodSeconds: 30
            timeoutSeconds: 30
          livenessProbe:
            initialDelaySeconds: 660
            periodSeconds: 60
            timeoutSeconds: 30
            failureThreshold: 1
          startupProbe:
            initialDelaySeconds: 60
            failureThreshold: 30
            periodSeconds: 10

Over 64 starts of the application in pods the initialization of the application was maximal 120s with 99 percentile at 115s. Two thirds of applications were initialized in 60s.

So, the startup probe is done after 3 times the maximal measured initialization time of the application - 360s. Readiness and liveness probes both start after 360s. The liveness probe starts after 10 minutes.