Neither of the option presented counts as "erasing". Erasing the confederacy would mean suppressing the knowledge and memory of its existence. What we're discussing is repudiating it, just like (Godwin alert) removing all Nazi symbolic after the WWII was to repudiate that system, not to pretend it never existed.
This is the most annoying aspect of confederate monument defenders who scream "LIBS ARE ERASING HISTORY." Monuments are not vessels of historical knowledge so much as they are vessels of historical narratives. If you want to learn about the Confederacy, you can pick up a book about it anytime. It's a stupid argument for stupid people who only understand history through the lens of what society glorifies most publicly, which is exactly why people want the monuments to come down; they romanticize an atrocious cause completely disconnected from today's values and distort peoples' understanding of their own country's history.