Local network - wireless is faster for some reason?

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I have an understanding of networking but just want to clarify. I have a EE Router which has a number of machines hooked up via a wired connection through a gigabit switch, they aren't seeing 1000mbps yet because the router doesn't have a gigabit port.

I checked a pc that is a few rooms away that uses a wireless adapter (it supports 802.11n like the router) and the connection speed it says is 300mpbs which I think is good for wireless. Does this mean this is quicker than the wired PCs? I take it it is as they only are 100mbps but always thought that the wired would be quicker still?

I will be getting a gigabit router shortly so the machines have faster speeds over the LAN but just wanted to clarify my thinking was right.
thanks guys for the responses and I understand it doesnt matter how fast LAN is if internet is 10Mbps but it matters still for streaming video from a PC over the network?