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I'm pleased you got in but why would immigration accept an email on your phone as evidence of anything? That could easily be forged or does it have some sort of signed qr code?
Proving your settled status involves logging into the government web-site. The e-mail states clearly that it's not evidence of settled status. I've got a print-out of it, anyway, for the same reason as what happened to hesa: That there may be an IT glitch at the border (where they try to check my settled status on-line) and I can use it as a document, even if it doesn't actually have evidential status, because they may not apply the check rigorously in the event of said glitch. Like all such systems, it'll probably take a while to bed in.
And more questions at immigration.
Coming back to the UK on an EU passport immigration could not see my settled status on the system, which led to more questions. Luckily I was able to find the settled status confirmation email on my phone.