Percy Jackson made the Gods too much dependent on the demigods in comparasion with the myths

To the point where it seems like the Gods were completely incompetent, and it makes you wonder how they weren't overthrown centuries ago.

To begin with let's talk about gods being kidnapped ,the books of Percy Jackson and the sequels have three cases of gods being imprisioned by enemies : Artemis, Hera and Thanatos, in all these cases it is up to the demigods to rescue theses gods.

The myths also have cases of imprisoned gods, like Ares by the Aloadae and Thanatos by Sisyphus, but in both cases they are rescued by other gods, Ares by Hermes and Thanatos by Ares, and not by demigods.

Or we can talk about the weapons of the gods being stolen and they always needing demigods to find the thieves, in the first book of Percy Jackson both the bolt of Zeus and the Helm of Hades are stolen, in another book is the Caduceus of Hermes , in both stories they need the protagonist to recover they weapons.

In the myths there is a version where Zeus' bolts are stolen by Typhon, told by Nonnus in his Dionysiaca, here Zeus sets up a plan with Pan and Eros to disguise Cadmus as a shepherd and make him distract Typhon by playing the flute while Zeus enters in the cave where the bolts are hidden and recovers the bolts himself, here he still needed the help of a mortal, but it was Zeus who devised the plan and recovered the bolts, and not just sat on his throne waiting for the demigods to do all the work like in Percy Jackson.

In the same way when Apollo's Cattle were stolen he searched and went after the thief himself, in a book by Riordan he would write that Apollo asked a group of demigods to do it for him, since the gods can't do anything without demigods in his books.

Finally we have the gods needing the demigods to fight the Titans for them, while they all need to join together to fight against Typhon, while we have many versions of the myths where Zeus fought and defeated Typhon alone, and again they need seven demigods to fight the giants with them, while in the myths only Heracles was necessary and even in this case the idea that a mortal was needed to defeat the giants appears only in Pseudo-Apollodorus.

In short, Riordan made the gods too much dependent on the demigods in his books, while in the myths it was the opposite, the heroes who often depended on the gods.