I guess it's possible the jumper is eating them, but it's probably just staking out its favorite spot, I name mine, they regularly frequent the same spots... They physically can't bite humans, and are a blast to watch hunt!
When I was at my wits end, I resorted to spraying as well, the only thing that I found decent results with was a homemade mix made from vinegar...
This page contains a similar recipe.
http://spidermite.info/spider-...
You can't really spray the bugs off with a hose, they hate it! But the webs and many mites will remain unless you do it ALOT!
The vinegar in the mix actually dissolves the webs, and the mites!
But it won't kill all the eggs, nor will it kill any mites that are in stasis in the soil... But it's very satisfying to spray and watch it bubble, that's it melting them away!
Beware! 20-30 mins after you spray this mix, you must wash it off!
That same rough blast from the hose will wash it off fine, no scrubbing needed.
Just being conscious of them, and staying on it is your best bet, total eradication is basically a pipe dream.