It's not a major issue if the RNA-seq samples differ based on library prep and instrument
I don't think I agree with this. Library prep is likely to have a big impact, especially if you compare ribo depletion with polyA sequencing. But even within the same strategy I expect biases.
Including this in the design model might work, but I bet that the biological subgroups will be confounded / not independent from these technical subgroups.
But if you some data to back your answer, please share.