You can add to Milton cold water steriliser

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Milton cold water steriliser you can keep the water for 24 hours and keep on adding hand washed items to it and sterilise.

Does that not sound a bit weird and counter productive?

I was thinking of adding the spoon to the steriliser to the solution. I hate how it drops into the formula.

Half life is irrelevant it only applies to the radioactive isotope which has nothing to do with disinfection.

Chlorine does both gas off, and also get "used up" by any dirt or germs so yes it becomes less effective overtime which is why you are advised to refresh it.