This is not a type of coin I have ever dealt with, but...
The two pictures used in Krause look so identical to each other, I am pretty sure they are the same coin. They have the same grime-dot to the left of the person's hair-bun, the same line under the SA in ELISA, and the same shine above the second C in LUCCA.
Your coin, however, looks different from the coin in Krause. Look at the end of Elisa's bust. In Krause, Felix's bust touches the end; on yours, the end is not touching anything. That being said, whatever type is actually being shown in Krause, I would think yours to be of the other.
The pictures on NGC are actually of different coins, if you would like to compare those:
https://www.ngccoin.com/price-guide/world/italian-states-lucca-5-franchi-km-24.3-1805-1808-7-cuid-1174373-duid-1598035
https://www.ngccoin.com/price-guide/world/italian-states-lucca-5-franchi-km-24.4-1808-cuid-1209474-duid-1579955
Now, do you recognize the pictures used for KM#24.4? Same ones as Krause. And that very same coin is used again on this KM#24.3 page:
https://www.ngccoin.com/price-guide/world/italian-states-lucca-5-franchi-km-24.3-1805-1808-7-cuid-1174373-duid-1581256
While NGC might not help much, at least we now have pictures of the different busts.
For the first two links, I think the pictures are switched around. Here is an example of a coin from 1807, whose date should only come in KM#24.3:
https://www.cgbfr.com/italie-lucques-et-piombino-5-franchi-elise-et-felix-baciocchi-1807-florence-tb-,fwo_399639,a.html
With that in mind, I would think your coin is a KM#24.4 type. But of course, corrections are always welcomed!