I don't believe you have to replace that circuit board. I say that because my 1999 4Runner was not part of the recall and the new sender works. But just to be sure, I suggest you "bench" test the new sender with your current gauge. To do this, remove the panel under your rear-driver-side seat, disconnect the wiring connector, and wire the new sender according to the wiring diagram I provided on the first page. Note that the sender needs to be grounded properly, so be sure to connect a wire from the metal bracket on the sender to somewhere on the body (a wire with alligator clips on both ends works well).

Please let me know your findings.

Edit: For some reason I assumed your 4Runner was part of the recall, but after re-reading your comment, you never said that. Again, my 4runner was not part of the recall and the new sender works, so I would think that yours will work without issue. I still suggest testing the sender before modifying it just in case something is wrong with it so you can return/exchange it.