The guy who had it reminds me of me, though I have become more aggressive about throwing things out. One exception is I still have the first issue and several years of subsequent issues of an old magazine called “In Business,” oriented to small and micro businesses. If I recall correctly, it started in the late seventies.
Still, it sounds like keeping the magazine in question would be almost like keeping copies of CRN (Computer Reseller News), a free trade journal published weekly. I tend to let those pile up, but after about a year they get thrown away, leaving all but the most recent couple months gone.