I take that magazine with me and read it on long-haul flights (on rest of course). In truth I'd prefer to read the paper or a brainless magazine but I make a determined effort to read the articles and do the quizzes etc and usually end up engrossed.
No matter how many flying hours I have logged, there are always salient details and stories of humbling aviation experiences that I take notice of and store away in the atrophied brain. Those stories have come in handy in scenarios I have found myself in (from engine failures to CRM etc).
However I simply won't do that with an online publication. I have too much going on to login, download and read in a format that is less appealing than a paper document. Maybe I should make the effort but I know in reality I won't and I suspect I won't be the only one. The is a compulsiveness to read a hard copy that doesn't exist with the mass of online reading out there.
In other words, dumping the hard copy will mean certainly one less reader.
This is heading away from aviation safety not enhancing it.