What is put in a coffin is not decided between this and this, and it differs depending on local customs, the way of thinking of each house, and judgment on the spot.
Currently, in almost all cases, cremation is performed in mechanized crematory furnaces, so things that damage the crematory furnace (especially those that burn at high temperatures, things that melt and stick to the inside of the furnace, things that do not burn, etc.) must not be paid. In some cases, even if you go out of your way to pay, they may be taken out before cremation.
I think the feeling of wanting the deceased to change into a kimono etc. that the deceased liked at the time of cremation and send them in a beautiful appearance is an honest feeling of the bereaved family, but since actually getting the body to change clothes is quite a difficult task, I think the method of hanging it while resting is also a common method of payment.