Taller shoes or boots are somewhat heavier, but this is generally not a big deal as most of the weight is associated with the soul of a boot.
If you are hiking in areas where venomous snakes, such as rattlesnakes abound, then higher shoes will add a little more protection against snake bites.
When in snake country:
Dress appropriately. When in rattlesnake country, do not be blasé about clothing — the majority of bites occur on the hands, feet and ankles. So, apart from not sticking your hands where they shouldn't be, clothing becomes an important protection ally:
•Toss the sandals — this is time for good quality, thick hiking boots, and decent socks. Over the ankle boots are best, as ankle bites are common. Do not wear sandals, open-toed shoes or bare feet when walking in the desert. There are more things than rattlesnakes awaiting your foolhardiness if you do.
•Wear long, loose-fitting pants.
•Use gaiters if possible, especially if you choose not to wear long pants.