Can a non-resonant antenna be used for receiving on most other bands? Sure. Will it receive as well as a resonant antenna? No. And that's absolutely normal.
Most random length antennas are usable on more than one frequency/band, but those 'usable' bands are harmonically related and are determined by the antennas length or 'loading'. All of this is about how the thing will -work-, how it will radiate or receive, it has nothing to do with the input impedance at the frequency of use (SWR). That is handled by a 'VIMD', a Variable Impedance Matching Device, located in the appropriate place, typically the antenna's feed point. What the #3|| is a 'VIMD'? It's the same thing as a tuner. Will it improve receive? Yes, but don't expect miracles. Won't that mean there'll be losses? Sure, but not as much as not using one would mean (both transmitting and receiving).
Think about it, it's what's done on almost every 'multiband' antenna on the market...
- 'Doc