Agree: We have kept two such very powerful magnets from old hard
drives.
So strong that the two attracted each and clung through a 3 inch
sapling!
Wood not otherwise being magnetic AFIK! {:-)

My neighbour recently borrowed one to get a piece of metal
(successfully) out of his eye!
We keep one magnet on the fridge. It's hard to dislodge!

Got another couple of hard drives downstairs to be scrapped for small
parts, especially the magnets.

Development of stronger magnets has certainly progressed during the
last 50 to 60 years! The magnets used for WWII magnetrons were huge.
Nowadays each microwave oven normally contains two such annular
(doughnut shape) magnets, which together will fit into a mail
envelope!

Suggestion about windy door, use a piece of
string ........................... !