I can't say with 100% certainty that this is true, however I do have first hand experience repairing and/or refurbishing hundreds (possibly 1,000+) MacBooks. With that in mind, it's my experience that Apple frequently changed mounting locations and made small revisions between MacBook generations.
For instance a logic board from an Early-2008 MacBook might physically fit and bolt into a Late-2008 MacBook, but the bluetooth connection on the logic board may be a different type. Alternately the logic board may not fit due to mounting points in the bottom case being slightly different.
Thats just one example but it often holds true, especially with the very early MacBooks (yours is a first generation) as Apple made lots of revisions in the first few years. The fan connection, bluetooth connection, speaker connection, optical drive connection, etc all changed pretty early on.
Unless you have physical access to several logic boards to test before hand I would recommend you stick with the logic board intended for your Mac.
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