Old growth forests are not carbon sinks, bit paper plantations aren’t either. Harvesting lumber for furniture and building construction is a minot carbon sink, but using that lumber makes matters worse. In the case of using lumber to incerase the size and energy intensity of housing stock, surely the impacts dominate the modest sequestration.
It is usually possible to make a case for just about anything by selecting your evidence carefully. The usual name for this is cherry-picking. Unlike some other fallacies, cherry-picking arguments are almost invariably disingenuous.
I have no opinion yet on the De Caprio movie that was the occasion for Moore’s rant, but this is enough for me to lose any inclination to take Patrick Moore seriously. Apparently, according to Wikipedia, he also appeared in the Great Global Warming Swindle swindle. Enough said.