This isn't a one size fits all thing. For a company like FedEx I don't see the advantage of owning their own data centers. They just don't have the scaling challenges that would require that. Data centers or information infrastructure as you put it does't fall within the core competency of FedEx, so I don't think it's a fair comparison to say its like outsourcing upper management. I think its more fair to so that FedEx building their own datacenters is like building their own roads to deliver packages on.
For a company like Facebook or Google, the difference is clear. They need to handle such a high scale of traffic and volume of data that they need custom infrastructure to be able to scale efficiently at significantly reduced costs. The same reason it made sense for them to invest in building their own databases, because the existing options didn't meet the scaling requirements. FedEx won't realistically be needing their own database or infrastructure any time soon.