Probably not true of all posties but I have seen packages thrown all over the place with no thought as to whether they have a Fragile Handle With Care sticker on or not. I had an LP delivered which the postie folded in half to put through the letter box . It had Fragile sticker and a Do Not Bend on as well, you can guess how many pieces the LP was in. However the vast majority of my records have always arrived intact.
Mick W