We have seen that deep inheritance can delay startup so you could try to turn it off in the agent profile
introscope.autoprobe.deepinheritance.enabled=false
The feature is designed to turn off after 2 minutes so if you found turning the feature off helps, you could reduce this value (in milliseconds) to one minute (60000)
introscope.autoprobe.deepinheritance.auto.turnoff.maxtime.total=120000
There are other settings with a similar prefix in the agent profile that you could reduce the values for (for example by half)
Other things that might happen more at the beginning of the life of the application would be smart instrumentation and automatic entry point detection, so you could review these settings
introscope.agent.deep.entrypoint.enabled=false
introscope.agent.deep.instrumentation.enabled=false
These are only diagnostic suggestions, so this might lead to a support case. Having said that, if you turn off deep inheritance or can configure a suitable value for it and are seeing enough data for your needs, you can proceed like that, it is always the balance of what data you get out and what impact it may have to the monitored application.
The last note would be if you have happened to enable full instrumentation (weblogic-full.pbl) to change it to typical (weblogic-typical.pbl)
Unfortunately, also because it is an issue with startup, you would need to recycle the JVMs to test but understanding the behaviour is the same with each JVM, you could try it on separate nodes to see how it behaves.