[Okm]

I think oxygen will get dissolved in any mixture that you blend . Ofcourse the gel form will definitely dissolve more due to traped air bubbles and due to the increase in volume is due to air  i think.
But the amount of oxygen dissolved is in ppm (running water has 9ppm DO) so when you consider the ratio of the amount of antioxidants vs amount of oxygen will be like 100000 to 1 which in my opinion can be considered negligible. 
Nonetheless antioxidant preservatives are also used to prevent oxidation.  
This just my two bit on the subject. I hope this helps. 

[Okm]

Thank you very much for your insights @Perry.
I will follow your suggested tweaks and see how that turns out as well.
I am still relatively inexperienced so do correct if i am wrong.
First
My bad i should have mentioned its suppose to act like the 2 in 1  conditioner plus shampoo of sorts thats why i added all those additional additives plus they are good for marketing purposes i think. 
I kept my main surfactant concentration low so that it doesn’t make the hair too dry ( under 10 % ) and tried to counter it with additional co- surfactants like glucoside and cdea ( it also enhances the rheolgy as well i think) . 
Again thanks for you response. 😀