I'm reading that pretty often here.
The more tails a Bijuu has the more power it has, right?
Kushina survived the extraction of Kyuubi (even after giving birth).
And on these scans we can see that Kyuubi can easily keep up with 5 other Bijuus (1 + 2 + 3 + 5 + 7 Tail):
So Kyuubi > 1 + 2 + 3 + 5 + 7 Tail.
Only 4 and 6 Tails were missing in that clash but I'm sure that they would not change the outcome.
If Kushina can survive having the Kyuubi extracted right after giving birth, why shouldn't Obito be able to survive having an lesser amount of chakra extracted?
Kushina = Uzumaki/strong life force.
Obito = Uchiha + Senju DNA, can take incredible amount of damage thanks to the Zetsu half and is one of the strongest persons in the NV.
I can't see Obito dying from that.
Sorry for any grammar or spelling mistakes.