I wouldn't. To me that would be triggering and maybe to many others.

Like you are here, than you are not and you are... deleted, forgotten, gone gone gone.

You don't burn work of people the minute they die. You don't burn all photographs of your family or friend, their letters and memories you had with them when they die.

If the member had things to say, things that mattered, it would be pity to do away with it, just because their earthly body is gone.