I think you sound really petty and selfish. You have a washing machine, don't you? How long would it take to put his things in with yours?
I can understand you get fed up with his clothes on the floor but for me, that's a separate issue.
I'm just thinking of the conversation you'll have with your son when he's a bit older.
"Let's put some washing on. Here are your clothes. In they go. Here are mummy's clothes. In they go."
"Shall we do daddy's clothes, too?"
"No, we don't do daddy's clothes, darling. He does his own."
"Why?"
"Because that's his job."
"Why?"
"Because I'm far too busy to wash his clothes for him."
Pause.
"Mummy, shall we go and watch tv after you've finished on Mumsnet?"
"Okay, darling. Just let me finish off telling these women how busy I am, first."