I want to buy a new battery for my switch. The seller for model I found on Amazon says compatible with HAC-001, but I have the newer version HAC-001(-01). According to the official technical specs (https://www.nintendo.com/switch/tech-specs/) the original batteries for both versions are identical, only the HAC-001(-01) model has prolonged battery life, but not a higher capacity. So the replacement for the original model should work with HAC-001(-01) ? Am I understanding that correctly?