"I also" Vs "Me too"

[David Morris]

They seem the same, but grammar couldn't allow that.

"Me too," is so US ubiquitous that gut thinks it right as a declarative.
But "me" is not a subject, is it?  An object cannot command a verb, right?

My inner 4th grader is emerging, and grammar was a powerful math to learn
back then.  Graphing sentence structure was fun.  Nerd, I was.

David Morris
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