Wellll.. we have lived in this house since 1973 ( I think ! )recently I had some tradesmen at my house and when they used the toilet they left the lid up, they should have left it how they found it down
I was the first to come in when we moved here..
The toilet seat was up...............
I had a wee and left it up.
So if it is always leave it how you found it then historically it should always be left up !!!
But
We have a soft close toilet seat. If woman gets taken short we end up with a wonderful display of the peepee dance while she waits for the seat to go down.
In deference to her bladder and the upstairs rafters and floor boards I do actually always leave the seat down..