Intrinsic skin elasticity and the dynamic interactions of the dilator naris with the skin envelope will affect ultimate width reduction after alarplasty more than simply the skin thickness.
The nose pictured is a good candidate for alarplasty with combined nasal sill and Weir incisions. The proportions of the nostril width and tip width is important for the surgeon to consider when designing the incisions.
Based on the proportions of your ala and tip, you're not a great candidate for alarplasty alone. The nostrils would likely lose their natural curvature and would actually result in the tip looking less defined, not more. A minor revision rhinoplasty could enhance the aesthetic of your nasal tip...