The reason for giving you so many options is that I thought that at least one of the options would exactly fit your units situation .
There is a possibility that you cut the wires of the old unit about right in the middle and you have found a new unit which is actually just the naked "Little Silver bullet " that will require crimping to a new set of wires, since you have clipped the original whole set of wires to such a shortened condition .
If this is being true , are you sure that the new unit senses for failure at 240° instead of the old units 212 degrees temperature threshold ?
I would just be ordering one of the new ceramic encased units, with the proper wires already connected, with their ring eyelet connecting terminals.
Has testing of the old thermal fuse unit,revealed it to be open circuited, when using an ohmmeter ?