What Would Hypochlorite Ions Prefer to React with, Hydrogen Ions or Ozone?
First of all, hydronium ion, $\ce{H3O+}$ is basically a proton in aqueous solution. A proton undergoes hydrogen bond in aqueous solution to forms various forms of hydrated proton. But for simplicity, we denote $\ce{H+}$  which is considered an acid. Now, UV light dissociates hydronium ion in ozone atmosphere into oxygen, singlet oxygen, proton and water. So, if hypochlorite  salt or its corresponding acid is introduced, it might react with these. Chloride ion in form of salts is very much stable and is unlikely to react with any of the dissociated products.

So, first of all, any hypochlorite salt or hypochloric acid added will dissociate into component ion in presence of UV light. Then will react with the following dissociated products:


Singlet oxygen


$$\ce{ClO- + 2O ⇄ ClO3-}$$

(Source, considered hypochloric acid)


Proton


$$\ce{2HClO + 2 H+ + 2  e{−} ⇌ Cl2(g) + 2H2O}$$

Water is present as moisture so it is unable to attack hypochlorite ion readily. Also oxygen is present in minute amount(mainly singlet oxygen is present), so it cannot oxidize hypochlorite ion.