To the average pop reader's digest human experience, they are pretty close. Sure, it's interesting to know that GPS is affected by time dilation, but the hours spent on thought experiments on intergalactic travel are a distraction from all the things one can learn about their everyday life.

> all the things one can learn about their everyday life

I'm curious what topics you have in mind? My everyday life is like 90% Newtonian mechanics, 9% thermodynamics, and 1% fluid mechanics (percentages completely made up). Or are you thinking like E&M for phones and stuff?

Yeah, the frequency shift "time dialation" of Radar & Lidar for traffic tickets and even Time-of-Flight imaging for your FaceID all involve the constant speed of light or special relativity... but yes, all of magnetism can be derived as a special relativistic case of electro-statics (relativistically moving charges).

For me, the more annoying aspect to this is that the "it's all relative man" has infected even more techincal discussions to the point where engineering and settled science is treated as just more "woo woo" by people who could know better.

The derivative of time in the spacetime* tensor is just 1. There's no speed up, locally, which is what counts. The rest is just an effect of observation.

*I do not remember nor care what it's called. I'm sure you know what I mean anyway.