Yah, I went through modems a bit faster than CPUs and a bit slower than floppy disks... the reason was, connect time was metered in the "good" old days, so the faster the modem was, the more money you saved on downloads, in theory, maybe you'd just spend the same half hour online and do twice as much. Anyway, while you'd ponder if it was really worth upgrading your DX33 to a DX2, you would leap on the first reasonable priced 28.8k to replace your 14.4... Meaning that modems through the 1990s were the per-piece biggest cause of ewaste I think, the most frequently upgraded part. I know I went 9,600 to 14.4 to 28.8 to 33.6 to 56k in one system, almost one a year.
I keep an eye on the whereabouts of a couple of 56k hardware modems in case modemmy function ever actually required again (Though all our copper is in a rotten state in this city, so I'm hosed anyway) but there's not a lot of point in saving anything very inferior for retro use.... Though yah, curators of a proper modem collection will have a rare thing by the time we've done junking or ignoring them.
edit: in case you wonder why I bothered going 28k to 33.... what happened was, I got this white box 28k external, and even with 16550A uart I could never connect to the darn thing at more than the 56k serial rate, and it appeared to have no compression or other features so it was a straight ~3kB per second on everything. This when I had a spectacularly good 14.4k which would get 5-7kB throughput on stuff that compressed, though on binary zips it was the straight 1.5kB/sec... anyway ploddiest 28k imaginable, even thought of putting the 14.4 back in several times... a deal came along on the 33k and I got that, and was much happier, though it only seemed to restore the compression rates of the 14.4 not do a huge amount better, maybe I saw 10kB once in a while. Then it was a weird protocol and when the 56ks came online most ISP were dropping it back to 28k support and under those protocols it was down to 5-6kB compressed throughput and the 3.5kB/sec on zipped bins. Then finally when 56k settled down I got one and got the 15-20k compressed throughput rate and ~6kB/sec bin.zip.
Unicorn herding operations are proceeding, but all the totes of hens teeth and barrels of rocking horse poop give them plenty of hiding spots.