The pooling may drop the red and white blood
cell counts. And yes, your hemoglobin may drop
slightly as well.
Have you had an US or MRI to look things over? In particular, did they see any signs of PHT? Usual signs are: enlarged spleen, large portal vein diameter, ascites, varices, recanalized paraumbilical vein, etc? I have PHT and my spleen is 18 cm with a 16 mm diameter portal vein. So if you do have clinically significant PHT, they should be able to see it.