The available domain is actually the search term backwards such as Blue-Widgets-Large and the popular search term is Large-Blue-Widgets I believe the search engines look at the names the same, however would like your opinion before I go ahead and register the domain. Thanks in advance.
Extra value may come from searchers finding a keyword domain more appealing, and thinking that it's more likely to be on their topic -- but that's not part of the search engine algorithm.