That effectively removes the power to declare war from Congress, and is an argument that should be rejected on its face by anyone who respects the plain text of the Constitution - no matter what a corrupted Supreme Court filled with power-mad tyrants may decide.
It seems to me you are dangerously close to saying, "the Constitution means whatever I say it means." The Constitution doesn't specify any exact wording for a Declaration of War, nor any limits on one. And it's hard to argue that an authorization to use force passed by both Houses actually removes power from Congress and gives too much to the Executive in the absence of such restrictions.
What is most likely going to happen is that Syria will be partitioned into a rump Syrian state in the West acting as a Russian satrapy, the Turkish border will be moved a few miles south, and the US will pick up the rest of the country (with the Kurds in the East and a buffer Northeast of the Golan). Basically a new Sykes-Picot arrangement.
Our goal here will be to crush ISIS (Russia doesn't give a rat's patooty about ISIS) and keep the Iranians out. We will be there for decades.