Are LTs with no deployments authorized to wear the GWOTSM?

The GWOTSM is earned once you've served 30 days at your new unit. You have earned it.

Everyone that has served during the War on Terrorism receives the Global War on Terrorism Service medal. I think you are confusing it with its cousin the Global War on Terrorism Expeditionary Medal which you earn being deployed in support of the operations. During WWII there were two medals that were pretty much the same as these two medals. The American Defense Service Medal and the American Campaign Medal. Everyone earned the former and only those that served in the Battle of the Atlantic and during the defense of the west coast, received the latter. So wear it with pride.

There's no deployment requirement for the GOWTSM. it's a participation trophy, much like the National Defense Service Medal.
I think you're confusing it for the Global War on Terrorism EXPEDITIONARY Medal, which does have a deployment requirement.

No deployment required for the GWOTSM just an O5 commander that thinks your active service helped the war on terror.

It's a "thanks for signing up" award, just like the Army Service Ribbon. It's stupid, but you may as well wear it.

Active Duty presently once the time required and school completion is met your automatically wearing three ribbons in the Army National Defense Service Ribbon, Global War Service Ribbon, and the Army Service Ribbon. Best of luck to you LT/ RedLeg!

Per AR 600-8-22 Awards reg: Servicemembers must be assigned, attached, or mobilized to a unit supporting designated operations listed in paragraph 2–20d for 30 consecutive days or for 60 nonconsecutive days. Or, regardless of time served while on active duty in the Military Services on or after September 11, 2001. I joined in 2007 and everyone was earning it automatically. My understanding was that with the latest award reg (the one I quoted is from 2018 as I’m answering from a tablet without access to the latest one) was that this had changed and was limited now to the following: Initial award of the GWOTSM is limited to airport security operations (from 27 September 2001 through 31 May 2002) and Soldiers who supported Operation NOBLE EAGLE (11 September 2001 to date to be determined), OEF (11 September 2001 to date to be determined), OIF (19 March 2003 through August 31, 2010), OND (1 September 2010 through 31 December 2011), OIR (15 June 2014 to date to be determined) and OFS (1 January 2015 to date to be determined). I would def reference the latest AR 600-8-22. Additionally, if after graduating BOLC, it wasn’t automatically added to your DD214 then I think you are NOT entitled to it. Typically, the DD214 issuing office/staff does a good job on giving you the awards entitled to for that active duty timeframe. P.S. I reference DD214 as I work mostly with US Army Reservists. I understand that active duty will not get one until finalizing your time but if you have doubts reference the reg and ask your S1 to clarify. You do not want to get caught wearing something you did not earn!

Awarded by a BC or higher, some units still hand it out like candy. Others want you to have contributed to the GWOT in some fashion per the verbiage in the reg.