Hi sunlover
I don't think any slight on your cooking was intended - it's just that saying there's a 'free' lunch available is often the way to entice someone to try out a day centre if they are a little reluctant - I know it worked for my dad, even though I too cooked at home and enjoyed doing so for the 2 of us
there are lots of reasons people attend day centres - as others have said your hubby may enjoy the activities, the company, a change of environment AND you may well enjoy some time to do something you'd enjoy, whether going out or putting your feet up with a book
it's no slur on you as a carer that this is being offered - it's an added support to you both and isn't available to everyone, unfortunately
maybe give it a try?