If people think 99% of voters care if Biden is considered "neoliberal", they're being too naive and overestimating the average voter.
I came here to essentially say this. Hillary didn't lose in 2016 because voters thought she was too neoliberal; she lost because she campaigned poorly in the Midwest, had a message that entirely relied on the sanctity of the status quo, and was plagued with a series of scandals. That's not to say that any of the above doesn't apply to Biden now, but being an economic liberal probably won't matter much in the long run, especially since Biden's positions are still well within the mainstream of the Democratic Party. Obama is neoliberal as hell and yet he'd easily win a Democratic primary if he were eligible to run again, for example.