Thank you to Katie Mack for teaching me about this effect, and to Janelle Shane for describing redshifts as 'like galaxies sinking into a pool of dilute blood,' which is how I'll see them from now on.
The film is set in 2018, but when Commander Bremberly chases the hologram through Times Square, there's a billboard for Avengers: Age of Ultron. Depending on the date, that billboard would have been advertising either Infinity War or this movie.
Also, they're getting increasingly worried that someone will accidentally hit the 'retract' button, and that the end of the cable thrashing around as it winds up could devastate the Earth's surface.
They said after I got into a routine, I'd enjoy getting progressively stronger and stop whining so much about how hard exercise was. Well, they were half right!