Yes, i remember the premier division (i think) and the SPL.
We never called it the Premiership though (although England isn't officially that anymore either) and we certainly didn't have a championship with league 1 under it.
Partly it's shit for marketing the "product" , partly it's bad for our collective self esteem to be copycatting the bigger neighbour, but mainly it betrays a lack of imagination in the running of our game.