"work" is a funny term. Accepting for the sake of argument that it disincentivizes economically beneficial work, what if it frees up eg, artists and other culturally important activities? Or family care? Is that a bad thing? It makes /society/ better, even if it makes /the economy/ slightly worse
"He thought we should abolish private property. People should not be allowed to own things."
No. that's just straight wrong. Property is revenue generating, it's not the stuff you own. Marx wanted to abolish private ownership of the means of production (ie, factories)