Well, it works both way around, the secondary sides faced to each other a wee bit better.
Here is the data sheet
Note that there is two types of LT44 tranformers, one with blue tape and one with yellow tape. I used blue tape in this build but I waiting for a couple of yellow ones too. Those are supposed to have slightly different specs.
The specs from a guy selling them on ebay indicate both yellow and blue have the 20k primary and that the yellow has lower DC resistances 480 vs 1080 ohms approximately. I'm probably just going to order the blue one for this project. It seems to be adequate. Thanks again for the project!