Yes, photos result in faster sales. Many older sellers who have been in their current homes for a long time are quite frustrated at how few showings they are getting. But in reality, they are getting more than they would in person. Your photos are your first showing. It's not just good photos, but intentional photos that are presented in an intentional order or logic.
Second, before you go too crazy with your editing, double check with your local MLS. Ours specifically forbids most editing of photos. I know, I know. Even quick jpegs are edited in camera, but doing too much to color, distortion correction, or editing backgrounds could land you in trouble. Is something like distortion correction that big of a deal to photographers? Not really. But most people on your MLS board are not photographers and may just not get it.
We generally like rules to be black and white, but as I teach in my real estate ethics course, life usually happens in the gray area in between. Just think through where you want your photos to be and what personality you want for your business. Then make sure it's ok with your broker.
BTW - As a photographer and recovering Realtor myself, if my agent put up a photo like your second, blurry and grainy image, we would have a pretty frank discussion and it would either be redone or I would have another Realtor taking photos of my home. To me, it makes that big of a difference.