My bees in my TBH died this winter despite my efforts to keep them going. Everything looked healthy when I checked it recently (i.e, there were dead bees, but no weird smells or other signs of disease that I could tell) so I think they froze or starved. They left a number of combs they had built last season, some of which are quite complete (at least 6, plus some partially build combs). These combs are partially filled with dead brood, some have nectar, and some are empty cells.
My question is whether I should leave this comb in place for my new package of bees. This would help them (I think) since they would not need to build comb from scratch and could dedicate their efforts and resources elsewhere. So is there a downside to doing this that I am not considering, or is it OK to let them just use the leftover comb and start filling up the empty spots?