With all due respect....that's poor thinking by anyone.
If you have partial shares / undervalued crap (as you put it).........don't SELL it. DONATE the STOCK to a charity of choice!!
You still get the tax write-off (if held in a taxable account)....and/or......utilize a "donation" deduction if held elsewhere. AND ---- (even though it may be minimal value) ----- the donatee gets the CASH after selling the stock.
It's a WIN/WIN/WIN!!
Anyone who just dumps 444 shares of a .04 - .05 cent stock is just lazy!