The little blue veins that you are referring to are not likely related to advanced liver disease. Once your liver has become fibrotic enough to cause portal hypertension, then your collateral vessels will be affected (if linked to the portal venous system). But these are mostly internal as in: gastric varices, esophageal varices or other upper and lower GI collaterals. Your outer surface stomach region may show some strange vein issues due to the recanalisation of the paraumbilical vein, but these are quite pronounced (scary looking too, called "caput medusae").
Sometimes the subtle skin manifestations called spider angioma or spider veins can often be seen as well as reddish palms. But if you were dealing with "clinically significant" portal hypertension, other notable features would present themselves. Your spleen would likely be enlarged with a below normal platelet count. Your imaging would also show an increased portal vein diameter. And the portal blood flow into the liver would be affected, and may even be reversed. So your doctors will likely be able to pickup on whether you're dealing with portal hypertension.