You are correct in them being close to or one of the networks with the highest absolute number of 4G subscribers. Which I suppose is the topic of this thread.
But then you immediately followed on in the same paragraph with a number of references to the network's "size" in respect to their population coverage. So it appeared you were referring to the "largeness" of the network in terms of coverage footprint. I did specifically ask what metric you were basing your "largest" reference to, but you never answered. So I assumed population coverage since that's what you were talking about to begin with, and, as has been mentioned elsewhere, coverage is a meaningful, tangible thing that directly affects the actual customer experience whereas subscriber counts really don't and are just a PR thing.
EE may come close in terms of absolute number of 4G subscribers - but not in terms of coverage by area, coverage by population percentage, penetration, or revenue, especially not compared to networks who launched several years earlier. For physical coverage, EE are well ahead of networks that launched later and well behind networks that launched earlier. Which is no surprise.
As for subscriber numbers, how close they are depends on how old the figures are you want to use.
The most closely dated figures we have are 1.2m for EE and 1.84m for Vodafone DE in October and November last year respectively. That's not "close" in my book.
But if you compare January 2014's EE figures with Vodafone DE's November 2013, then it's 2.0m vs. 1.84m. That's close, but Vodafone are less behind there (160k) than EE were in their previous figures (640k). What are the chances EE managed to gain 800k customers in three months while Vodafone fails to gain 160k in two? EE's growth accelerating by 500% as much as VF's despite remaining within about 5% of one another for the twelve months prior? Seems a bit far fetched to me.
In the end however subscriber growth has been fairly similar across networks of similar size/market share in different countries - VF Germany started and ended 2013 with similar numbers of subscribers as EE UK (+/-10% probably) despite one network launching several years earlier. Unsurprisingly, both networks have similar customer numbers too (about 13% difference)