...No they won't

Long reach are just that - longer caliper arms for use with frames that have the brake bridge mounted higher than normal or for when you put a 700c wheel on a frame designed for 27". They will allow you to lower the brake pads.

The issue with caliper clearance is at the top of the caliper - or the throat of it - at the brake bridge of the frame. OP - that clearance is mostly determined by the frame itself. Running larger tires on modern frames has become an issue. Funny because now it's the fashion. OP - depends on the tire. You are going to have much more luck if you try out clearance with different tires. Just because a tire says something on it's sidewall doesn't really mean anything with regards to it's actual size in reality. don't believe it - check with calipers.