Does using Cat6 cables help create faster sonos connection and prevent audio lag?

I am an electrician who has a fairly nice sonos setup. I do run into problems in my living room (where most of my devices are located) with some audio lag when watching tv. I also have issues when connecting to multiple speakers on my iphone to play music in multiple rooms, and sometimes a speaker or speakers will just stop playing music while connected to multiple speakers. 

I was looking to try and fix this issue and was wondering if running Cat6 cables to each device would help solve them and also enhance my sonos experience (faster connection to devices, eleiminate the lost speaker issue while playing music in multiple rooms, and get rid of the lag I get when watching tv). 

My plan was (if I hear back that it’ll work and help) to run Cat6 to all of my devices throughout the house and plug them all into a network switch which would plug directly into my router. 

My current setup:

Living room

• Arc (connected to TV with HDMI - I also have an optical cord I could use but didn’t know which was best)
• 2 Fives on both sides of my TV (wireless connection)
• 2 Ones on the back wall used for surround sound (wireless connection)
• Sub behidn my couch (wireless connection)

Other rooms

• a single Sonos One in my Master Bathroom, Master Bedroom, and Kitchen (wireless connection)

An situation to better explain the lag problem: If I’m watching TV I can use the Arc, Sub and 2 Ones fine (sometimes a little lag with audio-to-picture but nothing crazy) but if was to add the 2 Fives to the configuration, I would get a really bad lag - or if I wanted what’s playing on the TV to play on other speakers throughout the house I would get the same issue but a much worse delay in audio. It would be playing the same thing on all speakers that are connected but the Fives would be out of sync or the kitchen/other room’s speakers would have the same issue. 

I’m not worried about running the wires to each because I had to add outlets for most of them anyway when I got them so they were in the location that I wanted, and I have pull string in the outlets as well specifically so I could add Cat6 cable in the event that I ever needed to or wanted to. My main concern was if that would help with the issues/inconveniences that I have been having or if I needed to purchase any other sonos equipment to make everything sync better or not. Does the network switch have to be a certain kind or does any of the devices have to be connected directly to the router or would having them on the same switch (which would then plug into the router) work?

If anybody has had this issue and/or ever thought about doing this setup, and did it, or knows the best solution to fix any of my problems, I’d love to hear how it went and if it helped with your Sonos experience or not.