I would wait until the trunk wobbles or stem shrivels-that's sure death. Otherwise,they are famous for recovering from frond kill or even spear pulls. Better to wait until its a sure thing it died.

Mine survived with only 3 fronds damaged here in Jacksonville.

Have you tried pulling on the spear though?

Okay, I'll give them some more time. They are still very firmly in the ground, the trunk doesn't wobble at all. The parts where old fronds have been cut away still have some green in them, so I thought that was a good sign.

But I don't know what the spear is, unless it's the center that becomes a new frond. If so, that is damaged and dried out. They won't come out but they have split and are brown and dried inside.