Intelligence - comprehension, awareness, intentionality, and reasoning whether fractal, emergent, or otherwise.
Since the panspermiasts have now expanded their scope to cosmic ancestry, I suggest we do it as the “panspermia/cosmic ancestry hypothesis”:
Q. Why are we calling it Cosmic Ancestry now, instead of panspermia?
A. The old theory of panspermia deals with only the origin of life on Earth. The modern version adds a completely new understanding of evolution to the theory. And Cosmic Ancestry integrates the theory called Gaia, according to which life engineers its environment, into the new worldview.
Panspermia is a hypothesis that the seeds of life are prevalent throughout the Universe, and furthermore that life on Earth began by such seeds landing on Earth and propagating. The idea has its origins in the writings of Anaxagoras, but was first proposed in its modern form by Hermann von Helmholtz in 1879. Panspermia can be said to be either interstellar (between star systems) or interplanetary (between planets in the same solar system). There is as yet no compelling evidence to support or contradict it, although the consensus view holds that panspermia - especially in its interstellar form - is unlikely given the challenges of survival and transport in space.
Given your definition of intelligent design, that is a neat and tidy definition of panspermia, AG. Easily understandable and reference to your prior discussions. You have simply named the type of intelligence involved.
If panspermia is cosmic seeding, who or what are the seeders?
Moreover, whether or not panspermia is conflated with cosmic ancestry, your definition is quite faulty. Neither panspermia in general nor its cosmic ancestry version in particular stipulate that the seeding or the emergence is engineered.