Taking a brand at random..
http://www.opensiteexplorer.org/anchors?site=www.carphonewarehouse.com
The various combinations of domain links are (www, no www, slash/no, no/http etc):
(127+73+36+381+17)/2225= 28% so still pretty high
Other variations of brand name (in top x results - i know there's millions of variations below the fold) 40% (probably up to 50 or 60 when you factor in all the permutations)
Commercial keywords - not sure but I would expect around 20-25%
Noise keywords like click here etc - probably just 5%.
The issue is that the biggest number there, the brand name variations, are what can get you into hot water with an EMD as all a sudden your 50% 'brand' and 20% commercial becomes 70% commercial. Add to that the fact that humans will see your domain name as 'keyword' it means most real, natural links you get will still get you into trouble.
So what do you do? Manufacture a brand name to sit on top of your emd? 'Frank's hotdogs at hotdogs.com'? Anyone else got other plans? B&Q at Diy.com are an interesting example as they are probably the biggest uk brand on an emd:
http://www.opensiteexplorer.org/anchors?site=www.diy.com/
still probably just 25% url anchors, roughly 30% brand and only just 1.6% exactly matching [diy] - but they have a far wider spread of anchor variations below and I'm only doing a quick check rather than sifting thru in excel