The genres are close enough and I strongly believe that duel is a must watch so why don't you give it a try?
(both dramas talk about psychological, medical and family related terms so i believe that they are similar in that sense)
ALSO Yang Se Jong's acting here is so so so so so so good

I find both vincenzo and the fiery priest to have a very similar vibe
they were both written by the same screenwriter and have the same "style" (including all the hidden references to the drama world)
they both have a comedic side and a suspense side with a lot of fight (yes there are some deaths) scenes
they both have at least one main lead associated with the juridical system and revolve around this sort of revenge way
also in the fiery priest the second lead is also really good and you'll end up falling for him just like jang hanseo
the only thing that vincenzo has better is the iconic psychopath villain ceo whatever you wanna call him
nonetheless the fiery priest is a must watch for people who enjoyed vincenzo