Double-wall rims have holes through the rim channel to feed the spoke nipples into when building. Single-wall rims have the nipples seated in the rim channel, with the tube also filling this channel.
Rubber tapes are too stretchy (they're basically the same stuff as tubes, just a bit thicker) and will blow into the spoke holes of double-wall rims under the pressure in the tube. The tube will then naturally also blister into the holes & you will suffer extremely frequent punctures. Cloth tapes are a lot less stretchy so will not blister into the spoke holes anywhere near as quickly, although they will do it over time.
Stiffer tapes do not like single-wall rims, as they do not conform to the channel profile as well, making fitting tyres something of a challenge. The extra layer of rubber over the top of the spoke nipples is plenty of protection for the tube.
Just ride the bloody thing and enjoy yourself!