This is thrown around a lot, but very rarely with hard numbers to support it. A cold DNS cache costs at least one roundtrip, a cold SSL session cache costs several, a new SSL connection (presently) costs at least 2.
Meanwhile, all the above is necessary to talk to an origin site anyway, and networking performance for the best part of 10 years has been dominated by latency (i.e. roundtrips) rather than throughput.
Hoping the user had an idle connection to the Google CDN when measuring cold request start is wishful thinking
Meanwhile self-hosted reuses all of the above and enables assets to be combined into a single transaction, which vastly improves the behaviour of TCP cold start