The franchise name is a brand name i presume. In that case is does not make any SEO difference. You will rank for your brandname anyway. Choose the most correct version and just run with it. The authority is going to be there!
If the franchise name is something like carinsurance.nl.. THEN you have an interresting case.
In the dutch language the word:
"jaloezieën" is the correct way of writing. In google everyone uses "jaloezieen". The results on the google page are different. Based on my research the main difference is due to the incomming links beeing spelled in the correct and the incorrect way.