MacGyver moment - today. Peroxide, dish soap, vinegar, and Ajax

[ProfessorGAC]

15. Vinegar?

From my chemist's point of view, I'd suggest the vinegar did nothing. There is calcium & sodium carbonate in Ajax. The vinegar reacts with that to for calcium or sodium acetate. So, there wouldn't be any vinegar by the time you used it.
That's what caused the frothing. The carbonate is the other product of the reaction with the acetic acid in the vinegar.
So, you released a bunch of gas and the heat of reaction helped push that CO2 out of the liquid.
Peroxide would normally be a good choice. It sterilizes (bacteria & viruses don't play well with peroxide), and doesn't negatively affect the surfactants in your cleaning agents. Except, peroxide breaks down to water & oxygen as pH rises and sodium carbonate has a pH of 9. Peroxide is more suitable at pH 6 & lower.
I would have used a heavier duty cleaning agent lije laundry soap. Dish soap uses less aggressive active ingredients to reduce drying of oils in the skin of our hands. The formulations don't worry about that with laundry liquids since one has very infrequent skin contact with laundry detergents.
You could make it again, leaving out the vinegar. It's useless anyway.
And, you might consider a splash of laundry bleach instead of peroxide. It is stable at higher pH and even more effective on pathogens.