There is a quiet joy in walking onto a summit with nothing but a folded map and a compass, but there is also a practical reality: most of us carry a phone or a GPS watch on every hill day, and pretending otherwise helps nobody. The trick is not to choose between digital and paper, but to use them as partners. A GPS receiver gives you an instant, precise answer to "where am I?" A map and compass give you understanding: what the ground is doing around you, where the cliffs are, which way to turn when the cloud closes in.
Get both working together and battery failure stops being a crisis. It becomes an inconvenience you have already prepared for.
Most lost-with-a-phone incidents on UK hills are not caused by the phone dying. They are caused by the phone never having the map in the first place. Before you leave the house:
Be honest about your watch or handheld unit too. It might show a track, but is that track your intended route, or a wiggly line recorded on a recce in perfect visibility?
Navigation on paper is a small, learnable set of techniques, and they are worth drilling until they feel automatic.
Laminated or encapsulated maps survive Scottish rain. Keep yours in a map case, in an outer pocket you can reach without taking your pack off.
The single most useful habit is writing grid references on paper as you go. Note the reference at each major decision point, each summit, each river crossing. If your device dies, you know exactly where you last were, what bearing you were on, and how long ago.
Conversely, if your paper map blows away over a corrie edge, you can use the device to re-establish yourself on the ground and rebuild your mental picture of the terrain.
Have a routine ready for the moment the battery dies, because that is when people make poor decisions.
The best place to learn this is a low-stakes day: a familiar hill in reasonable weather, when getting slightly misplaced is interesting rather than frightening. Try navigating a leg purely on map and compass, then check yourself against the GPS. Do the reverse on the next leg. Compare your estimated position with the device and notice where your timing or bearing drifted.
Do that a handful of times and the two systems start reinforcing each other. You will walk with more confidence, choose better lines in poor visibility, and treat a flat battery as nothing more than a small annoyance on an otherwise good day out.