Admittedly, Teixeira could have been identified and Sammi could have just rung Gerrard to make the deal more likely, but when it was first announced the move was touted as 'Hyypia rings Gerrard to ask if there's a player that can help at Brighton'.
Perhaps Burke did identify Teixeira and Hyypia...
When people say 'not a Burke signing', they don't mean, 'Burke wasn't involved', they mean Burke didn't identify the player. Tex wasn't a Burke signing, because Hyypia organised it.