You know I get confused around there which second pitches are which. Yes the first pitch is 8+. The second pitch traverses far left to the aformentioned perch, then goes up and out the obvious roof system above....at 5.6. That's why I was suggesting doing that 5.7 corner between Filipina and The Nose. It's a more natural link up.
The second pitch of the Winter looks interesting. If I am correct, it is the logical extension of the Spring corner system, above The Spring's first pitch. The second pitch of the Spring traverses right and climbs the roofs above the first pitch of the Winter. I tried it once and it looks like committing 5.10bish. Not sure why they swap second pitches.