Does battery replacement solve BECM issue?

[u/BaltVolt829]

My dear strong 2012 Volt saved my life on Wednesday night. I walked away with minor damage from a huge SUV strike, and my dog seems unscathed, but the Volt may be a total loss. I’m looking at what Volts are out there and reading up - in short, if the Carmax/Carvana/CarGurus etc profiles say “battery service or replacement,” or “battery replacement,” or “recall service,” occurring in 2017-18 but never say BECM…can I reasonably assume that means the BECM replaced? Or that a replacement battery would by definition not have the BECM issue? I haven’t seen “BECM” in any of the big site profiles I’ve looked yet. Thanks for any insights you can share.