July General Direct is not happening you all know it. Pikmin releases on July 21st. That means there is no July Direct from Monday 17th that week since that's Pikmin week (even Marine day in Japan on Monday), you have two other weeks remaning, the first week of July and second week of July. July 4th is a Holiday in America so that does rule out Direct or announcement that day, so that would only mean Direct on July 6th in that week (announcement on 5th).. For the second week, Satoru Iwata passed away on July 11th, absolutely nothing is happening on that day, so cross out July 11th Tuesday. Which means only possible date that week is announcement on July 12th for Direct on July 13th. So all in all, only 2 possible dates, July 6th and July 13th.
I don't recall Nintendo doing Direct the same month of their EPD release while actually doing presentation before the game comes out. Am not talking about schedule tied things like E3 Directs or something which had set date due to E3 schedule. They will not show other games just week of two before Pikmin "because Nintendo is weird sometimes". They will not promote anything week or two before Pikmin, it's just not happening.
To be clear am team June all the way but the idea of July Direct does not make sense to me, even more because that would destoy their pre-TGS Direct.