Yep, Time Team would be a great loss!
I agree with everything renormalised has said, but we must remember that archaeology is in the Arts stream, not science, even though it may use some ‘scientific’ tools. It is fundamentally a descriptive study. What it does well is systematically record exactly what’s there using rigorous methodology. What it does badly is draw conclusions. Archaeology is an antiquated field that is rapidly evolving in the technological age. Maybe one day it’ll end up a science. Geology did!
Cheers -