Honda built it only with many of the isuzu part.

Sorta, it is a rebadged Rodeo with a few more luxury interior items. It is Isuzu, was built by Isuzu to whatever specs that Honda requested. All Honda did was make an agreement with Isuzu and Isuzu delivered.

But you are correct, Honda will service it. In fact, Honda or any other dealer will most likely service any vehicle you take to them as long as you are a paying customer.

Michael