Should I change my MBP 13" early 2014 battery
I have a MacBook Pro (13-inch, Mid 2010) and the battery cycles counts more that 1100. Maybe I'm lucky, but I never change the battery and I think is working very well. (The System Information report a Condition that is Normal!)

After the 1000 cycles the battery probably start and continue to decrease a bit the Full Charge Capacity but you can still use it. The decreasing of the total capacity result in a small duration time of the battery, but anyway you'll not have any negative effects in any system components.