Every good rule has an exception, hence the good rule.
Aerial systems (much more poetic than antenna isn't it ?) have their exception.
TW are not used for transmission.
Rhombics (terminated or not), vees (ditto) are resonant antennas, which can be used on a wide spectrum provided there is a matching device, in which case they are used in the non-resonant "mode", usually with a purpose (directivity/gain).
Discones are the poor man's antenna and the scanner delight...
Nowhere that good but nowhere really that bad.
Usually not intended for transmission either.
Terminated folded dipoles are resonant antennas to which a nice resistor has been added. The most sophisticated dummy load so far.
If aircrafts could just stay on the ground it would make radio engineers so much more happy and the quality of communications would be greatly improved. What can you do ???