I wouldn't take a short position in a company based on the frequent closure of trivial, money-losing sub-ventures, especially if their main money-making businesses were healthy and growing. It'd be like shorting Apple based on the poor performance of the XServe business in 2009.
Also, it can be really expensive to hold on to a short position for a long time so it might not be a good idea even if there were more substantial reasons to take one.