Siege engines and archers

[Logar]

It seems to have always been regarded as worthless for archers to carry siege engines. Is it true they are completely worthless?

Is it possible that other troops ie. infantry, SF can make use of the archers siege engine if it makes it to the wall? If so, then I guess getting the archers to the wall should be considered?

Or is it a total waste of time for archers to carry siege engines period?