The reach of a handlebar is measure from the center (at the stem) to furthest part of the curve, so the slight sweep of those bars is not going to affect the reach...unless the reach is shorter than your current bar. The sweep back is there to help with ergonomics while on the flats (i.e climbing).
The Ecocurve has a reach of 83mm, so if your current bar has a longer reach, then it will help. Other options for short reach handlebars are the 3T Superergo (77mm) and Zipp 70 Ergo (70mm).