I wonder if, some day, people will request exemptions from being productive at work.
You wouldn't call a carpenter using electric tools a "Power Tool Bro". I didn't hear of anybody using autocomplete called an "Intellisense Bro". If a someone worked for a shop and refused to use lithium-ion batteries for religious reasons in favor of their hand-crank drill, they would be less productive, and the shop would be better off hiring an equivalently talented carpenter with a modern skillset and fewer arbitrary hangups. That's the level of absurdity on display with this comparison.
She's just using religion as so many ill-intentioned people do - an appeal to authority to justify behavior she intrinsically wanted to act out anyway, and becoming a burden to others in the process.