That's only partly true. What matters is competitive advantage. No company is more competitive because its (say) email server is more reliable than its rivals. Therefore email is ripe for outsourcing. But in any area where IT/software/computation is a competitive advantage, that will stay in-house (possibly using cloud-like technologies, but that's not relevant to this analysis).
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local technical work
That's only partly true. What matters is competitive advantage. No company is more competitive because its (say) email server is more reliable than its rivals. Therefore email is ripe for outsourcing. But in any area where IT/software/computation is a competitive advantage, that will stay in-house (possibly using cloud-like technologies, but that's not relevant to this analysis).