Official EA websites around the world have opened up hub pages for Burnout Paradise: Remastered. While all of them are almost identical, the Polish version has a crucial bit of information. According to that page, the game will see release on Switch sometime in June 2020. Along with that, the listing says preorders for the eShop version will open up on April 23rd, 2020.
There's always a chance this one page in particular has incorrect info, so we'll keep an eye on it to see if the dates are removed.