I can share some numbers from Google Analytics that might be of interest.
"Search sent 287,613 non-paid visits via 38,977 keywords"
The keywords aren't real but the numbers are. However, the mixture of product and company name variants is true to the original.
Keyword 1 - 64,243 (coyote widgets) (67% new visits)
Keyword 2 - 35,073 (Acme) (29% new visits)
Keyword 3 - 14,192 (Acme widgets) (34% new visits)
Keyword 4 - 6,142 (coyotes widgets) (66% new visits)
Keyword 5 - 5,089 (Acme Corporation) (28% new visits)
Keyword 6 - 5,034 (coyote widgets region) (68% new visits)
Keyword 7 - 4,667 (Acme coyote widgets) (37% new visits)
Keyword 8 - 3,630 (example.com) (34% new visits)
Keyword 9 - 3,117 (coyote widget) (68% new visits)
Keyword 10 - 3,050 (roadrunner widgets) (76% new visits)
Keyword 20 - 1,278 (www.example.com) (36% new visits)
The top ten terms brought half the organic search traffic. Thousands of terms had two to five searches each, and the "onesies" began at term 9697.
The terms with only a few searches were sometimes just weird things that happened to match, but in most cases the relevance was strong.
Note the pattern: searches which only mention a generic product name or descriptor are roughly twice as likely to bring first-time visitors as a search which includes some variation of the company name or domain name. That was consistent as far as I checked down the long tail.