I think the bloke wants to keep more time apart, possibly because time together results in arguments or accusations....so the logical thing is to be separated more of the time to reduce conflict. It might be that the bloke wants something to get better (in the relationship) and he can move to spending more and more time with you. (my guess)
The kitchen table point, can it be solved?
If the kitchen table is cluttered, then I would guess that there are more places in the house that's cluttered. Can some of those places be de-cluttered?
Using clutter as the "distraction". Could it be that the bloke feels that he can't concentrate on the relationship because seeing you reminds him of home and clutter. Obviously I am not trying to shift all the blame on you, but lets face it, if the bloke was interested in doing something, something should have happened by now.
If there is a "de-clutter" task that the bloke can do which isn't to big or demanding, throw that at him, see if he does it and see how well. To match him, take on a bigger or more demanding task at the same time, so he feels that he would rather do his job than take yours on.
If you want to take the exersize even further, play the game of giving the better complement, when looking at the other person's final result of the job. If you start the game out right, the process can gather a few laughs. If you want to play clever, don't look for "buts" in your complementary answer. Usual excuse is that your job was bigger.
The progressive complement is something like.... good job. That's what I like to see. Come and see if I did as well as you..... you and he go to your place of task....and hear the comment. Presumably it's also a good job, then you remark that his was done quicker, he replies that yours was harder, You reply that his needed more thought.....etc. Adding "much" and very much before the operative word is when the humor starts.
If you get success with that, getting another few de-clutter places sorted starts a process, then the DIY starts....if you put a cupboard up, we can de-clutter here and there.
Could that be a plan?