It's modern day. The other set pics show Gotham News Vans with "HDTV" in their logos and extras with smart phones.
In that case I'm not a fan.
There are ways to make it look like a batmobile without it just being a challenger with BEEG ENGINE.
Same how part of his costume looks like he just painted some hockey pads black.
I'm all for it not being like a Nolan tank and stuff but I also correlate batman with having really unique tech and tools. This feels less like Batman and more like Peter Parker trying to be Batman.