Mixed Stone Lapping no Problem
No reason at all not to do that! In fact, it's what I do every day of the week when I use my DMT Coarse continuous diamond stone to lap my coticules prior to shipping. In that case you're using about a 325 grit stone to lap an 8000 grit stone and the result is the coticule purrs like velvet. You can also use the same grit to lap a stone. The problem I find is not so much in the size grit but in the loading of the stone with swarf which happens quickly and then prevents further lapping until you wash it away.