I'm with golf nut. The pipes are filled with cold water. Say there is fifty feet of pipe between the heater and the faucet. If you turn on the hot water, all fifty feet of cold water has to empty out of the pipe before the hot can arrive at the faucet. If you remove the restrictor the hot will arrive sooner, but only because the pipes empty faster with the restrictor out of the way.
Anything that puts a heat source closer to the faucet will speed it up, but you have to keep the water hot and that will cost some energy $'s.
Our Gardenia master bath shower is on the other side of the wall from the water heater. Water in the shower is ready in seconds. The guest bath is on the other side of the house, and guess what? It takes time to get hot water there.
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