I have this one in my collection. Could be evidence that the production was hampered and many 13th Woolies were unable to be distributed to the 13th Armored Division.   Just my opinion.    

Nice 13th! I think they are rare but not sure why!!

One patch that was hard for me to find in decent condition was a wool 13th AD.  Not sure if they are rare or I just missed them.  Finally got the opportunity to upgrade recently.   

Here's a couple more examples of name tapes made overseas.  The first is one that was made in Iraq during OIF.  Note how the letters are not quite even.  The second one is on colored background with the name written in cursive.  (I'll try to see if I can find the uniform pictured and take a closer picture of it.)

UNITED STATES INSULAR GOVERNMENT insignia circa. 1913-1921.     Francis Burton Harrison was the Governor General from October 6, 1913 to March 5, 1921, tasked with the responsibility of the Filipinization of the local government during his tenure.     Here's an official invitation to Lt. Col. Denther, to a Ball and Water Fete at the Malacanan Palace of which Governor General Harrison had resided.  It was Harrison's Feng Shui way of casting out the years bad and to bring in the year with good.     I wonder if they used that cascos at the Palace to Ford the Pasig River during the Water Fete Festival.  And man, look at that rusty iron corrugated roof on the Palace.   Anyway, on the invite is a very nice embossed insignia for the Insular Government and yes Harrison's or Staffer contracted Crispulo Zamora make their distinctive insignia that can be observed on the obverse side of it.      

I have a partial green back 16th.  I also have a lemon yellow apex 20th but haven't run across a green back.  Yet.  I might have a brown backed 20th, but I have to look for it.

Thanks! It’s always nice to find something obscure out in the wild!

For me, I think it comes down to unit (famous actions), and then rarity. Other factors include green backs and woolies.  I also like TD patches because of their short life.  It's armor, what's not to like.  😁  

Mine also has the blue trim.

Update on this one, researching the reverend, found out he was wounded while in the MTO. And was an awarded a Purple Heart. I have since added the PH ribbon above his current bar. Updated pic coming soon!