The charter company's orientation was adamant, "do NOT rely solely on GPS
I actually do now rely almost solely on GPS with a paper chart kept handy for the larger picture and planning ahead (Where would be a good place to go tonight?). There is a big difference however between doing that with years of non-electronic experience in the brain and just going out with no knowledge or skills other than the GPS and its manual as many people now do.
I'm doing pretty much the same thing I used to do on paper but with the electronic boat icon substituting for the wet finger smudge on the course line. All the mental habits of old are still active: Are those two islands supposed to be lining up right now? Is that white flash of breaking water supposed to be over there? Is the right landmark still dead ahead on the proper course?
I believe in and advise keeping a running pencil line plot on the paper but I seldom, if ever, make marks on my charts any more. Partly it's having the chart books inside their plastic covers but mostly it's just that things are too damn busy in Maine with all the pots and complex geography. Better to have my head outside and ahead of the boat.
For complex fog or night legs, I do write down a list of courses, marks, and ETA's so I'll have something to fall back on if the GPS quits. With GPS, you are much more likely, almost certain if you are using it right, to be on your planned course than in the old days of setting out with just the compass and an estimate or prediction of the current set. Continuing on the course is therefor more likely to bring you to a mark where you can pick up full paper navigation.