I have no experience of using 4G on EE myself but I do work on the engineering side of things on the Vodafone network up north. If there's a specific issue you're having in a particular location then I could perhaps try and get someone to look into it for you? I do sense from your post however that it's the network in general that you're not happy with. I got outsourced from Vodafone to a 3rd party managed services contractor in 2009 so I take absolutely no offense if you want to give them both barrels!
I have been using it since start of November with an iPhone. Generally coverage is OK was previously with Vodafone for years around my area I would say it's 95% of Voda's coverage, but in major cities and in particular places like London I can't fault it.When in a 4G area the data speeds are awesome. Ran a test at work just before Xmas and here's the speeds I get in Derby: -