When the fullness in the border is minor, it can often be remedied with the use of spray starch, such as Mary Ellen's, and pressing. The looser the weave, the more one can shrink the border. Tight weave, quality fabric, such as Moda, will not shrink much, if at all. [Please note that in the photograph, above, the lettuce leaf is too extreme to be corrected by starching and pressing.]
This shrinkage principle also is a reasonable solution [no pun intended] for closing pin or needle holes left over from unwanted pinning or stitching.
Be aware, however, that if you starch everything to cover up all minor imperfections, then it limits the longarmer's ability to close holes, etc. because the fabric has already been starched and pressed.