Why didn't lasers work on thread veins around my nose?

I've had several lasers treatments. With fraxel some veins disappeared instantly only to return 2 weeks later. Others didn't respond at all. At first, Pulsed Dye had no effect so she tried a higher energy. It bruised but once faded the veins were far less visible. However, the results lasted 2 weeks if that. I was told I was in a small minority for whom PDL was ineffective and decided not to proceed with any further treatment. Is this the case for some people? What do you suggest I do?