The metempsychosis of filth is conditional, which requires the soul to be unsealed in bliss+a part of the body as intellectual material+a living sacrifice. Four generations were reincarnated with filth, and his soul was taken away by death, half of chakra and Kyubi no Youko, so he could not summon it. The three generations were reincarnated with filth, and the first and second generations were sealed, so the souls of the three of them could not be recruited. Therefore, none of the four original fire shadows can be reincarnated by filth.
Orochimaru actually failed that time. Even if three generations didn't put the third coffin back, orochimaru could not summon four generations.