if all their base chakra was gone or blocked they can still release it
I agree that if their base chakra was gone they could in fact release the seal , similar to CM
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But if their chakra network were "Blocked" , things would be slightly different.

, in the same way a CM user would be unable to release his seal if his or her network were blocked , its the same for the yin seal.
Kido was instantly taken out of CM2 and kindly noted that he could not channel his chakra , jyuken does not targets seals so kido should still hav been able to channel even a small portion of chakra from the CM since the seal was active , even if he was dying as CM like yin seal is a second source of chakra which is not connected to the chakra network but in the seal themselves.
Take special note that this was done without 64 palms and with wat seems to be a single strike! Post a small chakra infusion.
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OT: I think its similar to how it would be for a normal uchiha to activate sharingan , it probably uses a very small amount of chakra to release , or its done with a focused mental connection similar to CM which can be done with almost zero chakra.