I do not think that is a typical "Gary" point. I am very familiar with Greg's stance on the matter, as I've had many in-depth discussions with him about it and it may shock you to find that he agreed with me. It's one point type that I've studied in-depth and have worked for a long time to clear the stigma on. There was a huge mistake in the first naming (and dating) of the first Gary's by Newell & Krieger. You only have to look as far as the "Age & Culture" identified for them to see how big of a question mark they are " Late Archaic throughout woodland and caddoan periods". These are completely different people, different cultures, different times, different methods ....and they are all supposed to be one type? Nuh-Uh. As a joke, I have started to loosely term them all as Krieger points (yes, after Alex Krieger). LOL
I believe the name should be reserved for the Caddoan contracting stemmed points. There are many other contracting stemmed point types that occur in the area Gary's are found that have no direct relationship at all! In fact, let's take just the TX /Ok/LA area by itself. You have the Dawson, Langtry (according to some), Gary and Petit Jean River just to name a few (there are more) - these are well established forms that can look the same in certain situations. Now think of the contracting stemmed forms that have no affiliation to those forms, and yes, there are many. When you travel further in any direction, you run into even more contracting stemmed forms , it's a melee. Perino published that he believes there could be as many 7-15 different contracting stemmed forms that are currently called Gary. Well, the number in actuality is probably much higher than that. Until some of these forms can be found in distinct datable context with a known cultural affiliation, it will continue to be a mess. Other of these points have been identified for years but hadn't been noticed by most collectors (See Table Rock Pointed Stem, Petit Jean, etc) due to lack of reference material. The naming of all contracting stemmed forms as Gary is just as messed up as the "Rice" shelter faux-pas that happened up in Missouri. It's common, and has happened far too frequently. Typology is far from an exact science and there are so many mistakes that it just leaves a person reeling.
For the record, the rarest type of "Gary/Krieger" that I have seen is the notched variety. Out of thousands that I have personally found I have only found one. I can count on a single hand the number of authentic ones that I have personally seen. They do occur, but are extremely rare. There is another rarity that seems to only occur in a small area in Northeastern Oklahoma - it's a thin, WELL barbed contracting stemmed form (not to be confused with Dunn).
Anyways. Regardless of what you call your point, it's a nice one and you should be very proud of it. Typology is fun and can be very confusing...I need a beer.
Just for you spot, thought you may enjoy this - The photo below is one of the original "Petit Jean River", found on Texarkana Lake. Sorry about the glare in the pic.