DarkSaint85
Bonified abstract
😂
Well I just thought his cowl gives him more of an advantage. We already know he can be stealthy enough to hide from the likes of Superman et al (without gear), but at the same time, his cowl has various lenses that enable him to see through walls etc to find DD.
So as the OP is currently worded, I reckon Bats has a better chance.
SCAN DUMP!
Seeing through snow:
https://imgur.com/a/5PLyS
X-ray:
https://imgur.com/a/vsvDDKt
Through buildings:
https://i.imgur.com/mqvZko4.jpg?1
And again:
https://imgur.com/a/UlEVfRR
Targeting for him:
https://imgur.com/a/YOZvY
And then there is his stealth. Against Superman:
https://imgur.com/a/8d3ct
Gotham (whilst they were staring at him):
https://imgur.com/a/RV9iw
The entire JLA +others:
https://imgur.com/a/9QOL6
Superman even says he made a sound so slight, he missed it the first time (and this was when Bats is 5 years older, but Supes says he was ALWAYS good at that):
https://imgur.com/a/UHimQ
Andrew Bennet:
https://imgur.com/a/bgBPk
In short: as the stips are written, DD would be walking around as clear as day, and whilst he IS very stealthy, Bats has the tech to gain the upper hand.
OTOH, Bats himself is stealthy enough to hide himself from DD's senses. And whilst he doesn't use guns himself, he is still skilled enough to make shots even Deathstroke calls 'impossible for a pro'...
https://imgur.com/a/XnSM1