Corporate protection from personal liability is extremely valuable for contracts, and especially to protect you from your company's creditors. It does not however automatically shield you from liability to negligence claims, and, more generally, from tort claims of all sorts.

One reason you don't hear about this very often is that established businesses tend to maintain liability insurance, and in practice people sue with the intention of recovering money, and what they're targeting with those suits is the company's insurance.

This might be a good argument for buying professional liability insurance --- and, indeed, all contractors should (and probably have to, as a contract term). But for your open source side project, it's a moot point; use any well-known open source license and your users are already conceding a disclaimer of warranty and limitation of liability as a term of using your code.