Partially true. You can get away with a more efficient thermodynamic cycle on the ICE due to the more uniform load on the engine so they can be more efficient.

> All the energy in a hybrid comes from an internal combustion engine which is generally less than 40%.

Only if you define hybrid to exclude plug-in hybrids. Almost all my driving is on charge, with only longer trips 2 or 3 times a month relying on the ICE in my hybrid.

You are one of a small minority of people who plug their plug in hybrid in. Car leasing companies here in Norway lease a lot of plug in hybrids because the count as electric and so are cheaper to buy. They have statistics about the charging and say that hardly anyone does it, the use chose it simply because it was a cheaper vehicle.