I have been using lasers to treat nasal veins for years. I prefer the 1064nm laser for these but the 532 should also work well. The only significant risk is ulceration that can occur with lasers and also sclerotherapy. You want to be suer you are going to someone that has significant experience treating facial veins.
Can veins on the tip of the nose be treated with sclerotherapy or laser ? Buffalo Niagara, NY
Larger veins on the nose can be treated effectively with sclerotherapy.
Smaller veins (telangiectasias) on the nares are best treated with lasers - KTP 532 nm laser or 1064 nm ND YAG laser.
Other treatments that are less commonly used are IPL or RF for this area of the nose.
Treatment of nasal veins.
Nasal veins can be treated by a number of ways including sclerotherapy, laser, IPL, microrneedle radio frequency and vein wave and VeinGogh. All have pros and cons and most require several treatments. A blue vein larger than a spider vein may respond well to sclerotherapy. I see no risks to treating this vein. You should see a vein specialist.