The page lists specific goods that might be in the covered by the IATA Dangerous Goods Regulations but have specific exemptions.

The general rule for commercial aviation (especially areas covered by EASA like DUB) is that any dangerous good - as classified by the UN as one of the nine types - is prohibited on an aircraft, except for certain goods as elaborated in the PDF.

Oxidising agents are a class unto themselves - Class 5 Dangerous Goods out of the 9 different Classes.

It would be an offence to carry hydrogen peroxide either on board in hand luggage or in the hold without both special authorisation by the airline and with the proper handling procedures for that class of good in place as it is not mentioned in the linked PDF as having special treatment as being allowed with/without permission.

YMMV about how strictly they might find your solution - but I would advise you not to chance it unless they give you the all clear.