"I'm still pretty sure that Cromwell had something to do with banishing the landowners"

I'm not suggesting that Cromwell didn't invade Ireland or didn't disposses native landowners. What you said though was that Cromwell dispossesed native landowners and replaced them with 'Scottish' settlers. You seem to be mixing up different events. I don't know a great deal about the Cromwellian invasion either as it simply isn't directly a part of Scottish history which is my interest. I had a look at R.F Foster's "Modern Ireland 1600-1972" and he seems to say that the Cromwellian settlers were mainly of two types. English adventurers particularly from London and the West Country and soldiers from Cromwell's army. Theoretically one couldn't say there were absolutely no Scots settled there by Cromwell but if there were they were not significant.