You are confusing two completely different sections.
Section 2 deals with the Library, that is, the LGPL code.
It says this quite clearly "2. You may modify your copy or copies of the Library or any portion of it, thus forming a work based on the Library, and copy and distribute such modifications or work under the terms of Section 1 above, provided that you also meet all of these conditions:..."
Section 6 deals with a work that uses the library, and combining it with the library, which is the combined work of the LGPL code + whatever else.
You're right, I overlooked how they restricted their license restriction "The following restrictions apply to everything [..] in these downloads, except for the open source pieces. ". Now it starts making sense.
Section 2 deals with the Library, that is, the LGPL code.
It says this quite clearly "2. You may modify your copy or copies of the Library or any portion of it, thus forming a work based on the Library, and copy and distribute such modifications or work under the terms of Section 1 above, provided that you also meet all of these conditions:..."
Section 6 deals with a work that uses the library, and combining it with the library, which is the combined work of the LGPL code + whatever else.