The influence is there, Bitcoin being banned in the US would mean backward 10 years, not counting the ripple effects.
But the thing is that is just fearmongering from the orange guy to get votes, unless you vote for me, it's the end of your crypto savings, nothing more.
Even Harris knows the amount of support bitcoin has in the US and the sway Black Rock and other ETF owners have in Congress. The ban is out of the question, but various limitations, especially for miners and private holders (KYC wallets) definitely are. Democrats know they can't simply ban bitcoin but they can make it as inconvenient to hold as possible and that's their goal.
Bitcoin itself will be fine if she wins, but ths simple fact that she wants to promote Gensler, who was instrumental in delaying bitcoin ETFs and threatening various exchanges and altcoin operators like Ripple is something to think about. Why Gensler, who was proven to be incompetent in Congress and grilled for losing in court inf not for the fact that he's well known for fighting cryptocurrencies? Same cryptocurrencies Trump has warmed up towards in the last few months?