We've lived in a house that ran on wood, and I think YABU - and disorganised.
I don't understand why you need to chop wood every day, to the point where you have to do it at 8.15pm. You know your house will always need wood, so why haven't you got a contingency stockpile so you don't need to do it every day or in the evenings, particularly if you are going to be busy?
When heading for winter we would chop extra and stack it, as did our neighbours (cold country, wood normal). Some stored it in wood sheds, others, like us, stacked it and tarped the top to keep the rain/snow off. Then through the winter every few days we would chop more and keep the stockpile above a minimum level of what we would burn in three to four days.
We NEVER had a situation where we had to chop wood then and there or freeze - that's just bad management. What would you have done if a freak thunderstorm hit? Continued waving your metal axe about whilst hoping lightening wouldn't hit?!
As for the noise, chopping and sawing isn't that bad - but throwing it on the patio? Having lived with a DH who did this I can tell you it is really fucking annoying, and really fucking LOUD in the house,far louder than outside as the noise reverberates through the stone,then the walls/foundations. It was enough to make me want to beat DH with his own axe when he did it (luckily he learnt quickly).
Get organised so you have at least a days stockpiled wood so you don't need to chop after 8pm, and if you must don't throw it on the patio.
It's three years since we left that house and the memory of hearing wood hit stone is making me cringe even now. If I was your neighbour the chopping and sawing wouldn't bother me, but if you were throwing it onto the patio I'd be raging.