A few have tried rabbit ears and antenna's similar to your questioned item,
however a good Omni-directional antenna like the HA0130
seems to work well.
Winegard HA0130 Hideaway Economy Folding Omni-Directional Antenna (HA0130)
• Opens and closes like an umbrella, stores inside weatherproof tube
• VHF/UHF/FM travel antenna picks up stations in all directions without rotator
This unit is for the outside of your rig and is approximately 4' long.
Fundamentals of Antennas TV & FM