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I'm shamefully unsure of how it works exactly, but it's possible they had subroutines that looked for phrases like "weather", "movement", "troops" etc. to try and speed up the brute force.

https://www.youtube.com/watch?v=9HH-asvLAj4

Here's a really good video I've watched before and since forgotten the details of which explains Colossus and its context

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Some enigma operators had flourishes that the code-breakers could pick up on. Starting or ending a lot of messages with "Heil Hitler" was also a factor IIRC

Yes this is correct. The resulting ciphertext from Enigma was sent by manual Morse transmission. Morse operators can identify others by thier “hand” which is the Morse equivalent of the sound of your voice in speech.

Earlier in the war the Germans typically sent their call signs in plaintext. Many of the intercept operators in the “Y stations” in the UK became familiar with the “hands” of various German operators. Later in the war the Germans started encrypting their call signs, but Bletchley was generally able to distinguish them by the intercept operator’s familiarity with the “hands” of the German Morse operators.

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