They only seem to work effectively in Mossberg/Maverick pumps with an OPSol Mini-Clip ($15) inserted into the magazine loading port. Otherwise they're great in singles, doubles, O/Us. If there are Mossberg clones made surely they will also work in those with the same insert.
Word is the original Aguillia minis were developed to run in a Winchester 1300. I have known 2 1300 owners that ran them perfectly in stock 1300s. All other pumps seem iffy but varies gun to gun. As Brother said, the Mossy 500 series with the OpSol seem solid with the minis.
This really does not help with the question if a gun will run the Federals, as they are a tad longer as I recall. Get some and try is the best idea!