Water, including sea water, is indeed a conductor of electricity. However, the notion that electricity from a live wire placed in sea water would travel around the world's oceans is not accurate.
While electric currents can flow through water, they require a complete circuit to follow a path. Placing a live wire in sea water would create a localized circuit within the immediate vicinity of the wire and the water. The electricity would flow through the water in the immediate area around the wire, but it would not travel vast distances across the oceans.
For electricity to travel long distances, it typically requires conductive pathways like wires or cables that are specifically designed and installed for that purpose. Power transmission networks use such dedicated infrastructure, including high-voltage cables and transmission lines, to transport electricity over long distances.
In the case of the scenario you described, the electrical current would primarily remain localized around the area where the live wire is submerged in the sea water. It would not propagate extensively throughout the world's oceans.