A few moths ago I buy a bunch of these small antennas. Today I "sacrificed" one pulling away the rubber black cover, it shows the core wire forming the antenna. I guess it is a 1/4 wave length, resonating at 880Mhz as per Nano VNA test.
At 880Mhz the wave length is 0.3407m, so 1/4 is 0.0852m
At 1080Mhz the wave length is 0.2776m, so 1/4 is 0.0694m
The difference is 15.8mm shorter in favour of a 1080Mhz resonant antenna. To cut the wire is easy, and after putting at his place the rubber black cover I obtained an ADS-B small antenna working at 1080Mhz better than the original that was made for lower frequency.
Honestly I proceeded cutting the wire just a few millimeter at a time, wear the rubber cover, testing with Nano VNA, cutting again... etc. etc. until I reached a good SWR at 1080Mhz. I suggest to do the same instead to cut directly the theoretics 15.8mm. The rubber cover influences the response as well, so is needed to put it at his place for testing with the instrument.
I stick a white piece of tape to recognise the cut antenna.
A few pictures below:
The original antenna.
The original frequency / SWR response.
The new modified antenna.
The new modified antenna (without rubber cover).
The new frequency / SWR response after cutting the copper wire (should be cut a bit more...)
Does it make sense?