The argument for the IPO was to fund their space datacenters project, if Musk could afford to ignore the stock price, that wouldn't be needed.
However, some projections I have seen suggest even the public raise won't be enough for the entire vision (which includes LEO data centers AND trips to the Moon and Mars). That means he will either have to find the revenue or eventually sell even more shares. It will only be at that point he will care about stock price.
Have IPOs ever been about just a one time cash infusion?