If this is true, and remains true, then you have a competitive advantage that will improve your chances of mining profitably.  If I plug in devices that run at 100 Watts and run them 24 hours a day at an electricity rate of 0.15 per kWh, I'm looking at nearly $11 per month in electricity.  That means I need to earn more than $11 worth of bitcoin per device per month to turn a profit.  If I'm earning $10 worth of bitcoin per month per device, then I might as well just shut them down and use my electricity money to purchase the bitcoins at an exchange.  That way I'll at least get $11 worth of bitcoins for each of my $11 instead of $10 dollars worth (or less).  On the other hand if you are running 10 of these 100 watt devices and have free electricity, you can continue to run them when they earn $10 (or less) worth of bitcoin per month per device and get the $100 (or less) worth of bitcoins without any additional expense.  An exchange won't give you bitcoins cheaper than free.

Of course, unless you have your own solar panels or windmill and are already producing extra capacity, someone must be paying for that electricity you are using.  If their costs increase by $100 per month because of your activities, they may come looking for you to compensate them a bit.