Manufacturers already install all sorts of sensors to control the production process. Of course if you produce high end luxury cars there is probably not enough data for a useful model, but if you operate e.g. a hot rolling mill it may be useful.
And even with the non-deep networks from back in the day, people felt compelled to include prior knowledge and even used Bayesian priors to deal with a lack of data.
[1] http://papers.neurips.cc/paper/447-neural-control-for-rollin...