I'm presuming that what you are referring to as a "10% bleach solution" is a 1:9 or 1:10 dilution of regular undiluted chlorine bleach, which is 5% sodium hypchlorite... so, you're actually advocating a 0.5% solution, not 10%. Even that is pretty doggone strong to squirt into a damaged eye. If you wouldn't put it in your own eye, don't put it in an animal's eye... or a cut, etc.
The Vetericyn Pinkeye Wash that y'all seem to be so enamored with is 0.009% hypochlorous acid... which is what you get when you dissolve sodium hypochlorite(chlorine bleach) in water.
In other words, y'all are paying $30 for a pint of water (99.837% 'magical' electrolyzed water) with a drop or two of chlorine bleach added. Somebody is laughing all the way to the bank; though I guess that plastic squirt bottle is worth something.
Anything you squirt into a normal eye will be washed out, by normal tear action, in less than 10 minutes... contact time probably less in an irritated eye with increased tear secretion.
With systemic antimicrobials, like oxytetracycline(LA-200/300) and tulathromycin(Draxxin) that are present in tear film in the same concentration that they achieve in other body fluids, the eye is continually 'bathed' in a theraupeutic level of antibiotic, as long as administered dose lasts.