I can't say for sure if it will work with those cells as I haven't tried those specifically, but you do get very different fluid motion, and therefore different aeration, with a linear shaker vs. an orbital shaker. Orbital shakers will provide a much more laminar flow, whereas linear shakers tend to have more turbulent flow. The turbulent flow may also cause more aeration / splashing of the media which could increase the risk of contamination.

Ultimately, you probably just need to decide whether you'd like to run the experiment and see if they grow well. Keep in mind that even if they do grow well, you are effectively changing the experimental conditions, so you are adding an extra uncontrolled variable. If I was in your situation, I'd stick to an orbital shaker since it's the widely accepted standard. https://orbitalshakers.net/