Taking care of servers in your house makes you prone to network issues if your main upstream connection goes down.
A datacenter can use BGP routing with multiple providers to re-route traffic when there is an issue within 15 minutes.
As far as proving my experience, I can only do that with time. Showing amount of missed blocks over time... What kinds of apps and projects I support, etc.
Anyone could claim to have 20 years of system administration experience... but there would be no way to validate it. So he proof is watching and observing.