I understand the temptation. I see CRNAs bring in their laptops and iPads all of the time. I have to be okay with it for sociopolitical reasons but personally wouldn't want that for myself.
I treat my patients how I would want to be treated, and there are enough distractions in the O.R. in my opinion. For long cardiac cases, I watch the surgery and optimize workflow for coming off CPB/ICU transport efficiently. Not gonna say I never check texts or emails, but I am zoned in most of the time. I've seen enough bad things happen in <20 seconds.
Not that we give a crap what surgeons think anyway, but it's very easy to send the wrong message and would be indefensible if something catastrophic happens while being distracted. The cardiothoracic guys here are very professional (and great surgeons), and they expect the same level of professionalism from us. As much as we'd like to think that nobody is paying attention to us, they all are. Just pay close attention to what they say about your colleagues when nobody's around. Chances are they're talking about you too.