I'd call that a mid stage capped die. Note more of the design of the reverse is still present. On the later stages it goes away so it is almost all gone.
Earlier:

Later:

Then the metal gets even thinner:

Sometimes gets so loose that it starts to rotate between strikes:

Eventually gets even worse and starts to fall apart.


Sometimes more than one planchet is added to the capped die:

The
capped die prevents a normal strike to happen. So these are called a "struck through a capped die". The cap that was attached to the die, is called a
die cap.
Some are works of art:


Beauty is in the eyes of the beholder.
CoopHome:
Capped dies and die caps. The difference?