If you use a lay down insert tool, then you need an insert specific to the holder you are using. So the four types of inserts and holders indicated by manufactures would be left and right hand, external and internal. So for a left hand internal threading bar, you would use a left hand internal insert. The left hand internal holder for lay down inserts has a different shim depending on if you are threading into the the work or away from the work. So if you use a lay down internal left hand boring bar threading threading outward, you would need the negative shim plate and you would use an 11 IL A60 or 16 IL AG60 depending on the size insert that the boring bar takes. With lay down insert holders you need four different bars and insert types to cut all external/internal and left hand and right hand threads.
The top notch and other vertical inserts (on edge inserts) use just one insert for all four scenarios, so something like a TNMC insert can be use in an internal or external holder. Also you can look at Mesa Tools which sells there own variant where both insert and holder can be used for any of the above scenarios for $44.
http://www.mesatool.com/products/threading-tools/
Ray, you may be able to interchange inserts as you mentioned, but it doesn't follow with what is indicated by the manufacture. I am aware of the difference between the internal and external insert, say right hand insert is the direction of the cutting tip. But the lay down inserts that I also have a cant to the vertical cutting edge in addition to the seat angle which tilts into the direction of cut. All I am recommending is that he call one the manufactures (or Carbide Depot) and see what they recommend. I understand that a right hand external insert may work in an internal lay down threading tool holder, but it may not be ideal. My Carmex right hand internal threading holder does not have a seat, but the left hand internal does so the insert seat angle also may be a factor. Bottom line is I do not have a clear answer and I am only pointing out what is indicated by the manufactures.
Also, I find a lot of misinformation and pictures on the posted specifications, so when in doubt, I have called the manufacturer or in this case I would check with Carbide Depot specific to the lay down threading tool holders, inserts and shims if needed. One can also use an on edge type of insert, although I find the TNMC type can be a bit more fragile and there are some limitations as to the size of the holder. The Top-Notch are more robust but also a wider insert.