I remember that phase! After three years, I experience nothing of the sort.
Of the handful of people that I know have taken up primal, three had existing low-ish blood pressures ( but no noticeable issues before- no dizziness before). All three since starting have had frequent times of dizziness since loosing weight (their blood pressure has dropped too) - the dizziness times follows their low pressure times ( it correlates but it may not be the cause - an assumption). For me it rarely happens , but my occasional tired/weak times shows a low blood pressure - every other time I test the BP is higher - it may be coincidental. As it rarely happens for me then it's not a problem, for the others they seem to be reducing the events by adjusting macro ratios, omitting certain foods and even fasting in the mornings strangely seems to help their BP go up and they feel better, so I guess its close to problem solved for them.
Steak, eggs, potatoes - fruits, nuts, berries and forage. Coconut milk and potent herbs and spices. Tea instead of coffee now and teeny amounts of kelp daily. Let's see how this does! Not really had dairy much, and gut seems better for it.