Trust me, I'm an engineer

Actually. No engineers that designed the Titanic were on board. This Meme refers to the motor engineers on the ship. And yes they stayed on board the entire time trying to keep it afloat. The engineers that created/built/approved the Titanic read about it in a newspaper.

False they stayed next to their sentry so no spy would sap it
(TF2 Reference)

Actually, a few were lifted up from the water, though most brought into the boats were already dead or extremely ill or hurt from the freezing water