Will drinking ginger ale have the same non inflammatory effects as taking the dry ginger alone?

NO: Ginger ale commonly contains carbonated water, sugar/HFCS and artificial ginger-flavor. Ginger content is often listed on labels in a general "natural aroma" or "Natural flavoring" statement, to preserve secrecy of the complex proprietary mix of spices, fruits and other flavors used. Lemon, lime and cane sugar are the most common of ingredients. Its not the same as natural ginger as you asked.