The man has a vacuum cleaner, he just can't be motivated to use it. Does anyone have a screencap where you can see the "clean" patch of carpet where the vacuum usually sits?
I don't want to be a staunch Cobra defender, but you're giving him too little credit, honestly. He is almost neurotic about throwing stuff away, even though there is crap on his floor (laundry detergent) it all "has it's place." And of course the carpet is stained, he constantly smokes, the whole carpet is going to be like that, even if he vacuumed daily. If he could sweep and mop his entire floors, he might. Who knows, he's autism might kick in like it does when he finishes a soda and has to immediately can crush it and throw it away.