Woodworm

Hi everyone I have just registered My name is Giulio I have something to ask you if there is someone perhaps in the group who can help me. I restored 3 wooden bedside tables, they will be more or less 70-80 years old. They had holes on the inside part, the wood was not treated, where there were surely Woodworm or eggs anyway. I carried out the anti-woodworm treatment with a brush and closed the bedside tables in sealed bags for about 4-5 days after which I filled all the holes with wood filler and applied 4-5 coats of paint to give a Shabby effect, the paint in question is a sort of very dense cream (water-based paint). if the anti-woodworm treatment was not successful, does the presence of the filler and the paint help to kill any Woodworm or eggs present inside? Thank you