If you (or a buddy) have a tool&cutter grinder, the reamers can be resharpened to as-new condition, with a caveat. If you have to sharpen the flutes, the reamers will obviously be reduced in diameter. The ends can be resharpened without appreciably changing the reamer size; reamers are almost always made with some back taper but it's a very small amount multiplied by the very small amount you would remove from the cutting end.
However, sending the reamers out for commercial resharpening would probably not be a good use of money, unless you have a paying job for some specific sizes.
From my perspective, the "problem" with accumulating reamers is that, once you get past plus/minus dowel sizes and bolt clearance drill sizes, there is no sensible set of sizes to "collect" in the absence of specific jobs. And when you have a specific job, you need exactly the right sized reamer, not one 0.010" too big or too small. On the other hand, if I was gifted 100 miscellaneous reamers, I am too much of a tool hoarder to get rid of them. I would make some effort to store them in less self-destructive fashion, though. That might be as simple as using layers of one-side corrogated cardboard so the flutes don't bash themselves.
