Trichoderma needs an inoculant medium to function ie soil, peat, coco coir. They have no function in hydro since there's no medium to inoculate.
They will die off and convert to possible bad bacteria cultures. It's better to focus on simple cultures that are known to be effective instead of using products intended for soil and growing in containers.
You want to kill of bad bacteria cultures and there's no more effective than bacillus amyloliquefaciens doing that.
I tried bleach in solution once my first go around and it ended that first round within hours of adding it. Added 7 ml to an ~ 40 gallon system. According the calculator I used back then it should have been fine.I also experienced precipitations with Pool Shock and Jacks 321 but never experienced problems with regular bleach(sodium hypochlorite). This was 10+ years ago.
Have you tried regular bleach(sodium hypochlorite) instead of pool shock(calcium hypochlorite)? I've found regular bleach is often way more cleaner with less inerts, it's made for cleaning without leaving any residues at higher concentrations after all and pool shock is for disinfecting pools at lower concentrations.
If I do a comparison the solution with Calcium hypochlorite is milky with a lot of residues in the bottom and the other is crystal clear with sodium hypochlorite. I troubleshooted this exact problem many years ago.
Cheers!
the solution was RO water, botanicare calmag and Floraflex nutes