Sources suggest that food that has freezer burn is safe to eat, but you may find the texture and taste not to your liking.
As per Symptomfind.com, many people tend to throw out entire packages of frozen food upon the mere sight of discoloration believing that the meat has gone bad or spoiled; however, this is not the case. Often times, only a certain portion of the food suffers from freezer burn, depending on the packaging, and these portions can be removed and discarded.
However, you can still consume the entire serving, including the freezer burned areas, but the quality of food will be affected since you're basically eating dry meat.
For best quality, keep hot dogs frozen no longer than 1-2 months. Though they will be safe to eat if kept frozen longer, they may deteriorate due to freezer burn and become dried out. If they have any off-odor before or after cooking and an off-flavor after cooking, discard them.
Check out these 7 fascinating facts about hot dogs shared by Mentalfloss.com.