I think the key to taping over the bar code is not letting the tape crease. If its smooth I've never had a problem. A crease over the bar code can prevent it from reading properly.
that's it exactly ,
and USPS equipment has improved on reading barcodes immensely since that reg was written
so smooth, clear non creased tape is OK
on the damage to shipped parels side
unfortunately some of the sorting clerks in the delivery units still make a game out of tossing anything that they think they can toss the distance from what there're breaking down arrivals
to the container going to is final destination delivery unit



(don't get me started about airport ramp aircraft belly loaders)
and before the clerks get a chance at it parcels can have up to a seven ft drop from a conveyor into an over the road container at the bulk mail sorting center
and/or
if under about 25LB go through the AutomatedParcelSortingSysrem machines and get kicked 4ft sideways V, off a carrier cell moving ~6 mph -> ,to tumble up to 5ft into a wire container
the automated systems are what has to be used to move the volumes involved at the price paid
so the answer is as others have stated above:
pack ir right use a box not a poly pack envelope for small shipments
AND
baggie and/or over tape any container that is not hard sealed
paper tape ala nosler / wrapped labeling ala Sierra/Berger are not hard sealed
over pack/tape em, your customer owns a blade they'll get them open
OR
brick stack and tape small containers together to make friction fit block of the contents
with a copy of the label on/in it if you're really ocd
AND
use minimally crushable packing material and fill all airspace solid
to leave no shift space with in the outer package
AND
if shipping say SMK's or bergers etc DONT count on airpacks or large cell bubblewrap to not blow out
if they blow and they WILL, the box W
ILL crush, the corners WILL tear and the contents WILL get scattered
wrap tape in at band at all the carton corners and flap edges
make our job easier to do
pack it right and it'll get there, maybe late sometimes but it'll get there
OK I'm done venting now

Jim