Not true at all. An LLC passes through these things for tax purposes only. Each owner is taxed on their pro-rata share of the business’ income offset by its losses, but the business doesn’t have to distribute anything at all. It’s common to distribute at least enough to cover those taxes but it’s never normally required by state or federal law.

Edit: you can’t keep an untaxed rainy day fund, that’s true. If you keep cash in the business from one year and use it on expenses the following, you deduct those expenses for the year they occurred. If that incurs a net operating loss you can carry that loss backwards or forwards if you want.

What if I take sell $100 product through LLC and book it as profit, pay taxes on it and after that, the customer files a chargeback. Where will the chargeback fees plus the original amount come from?

Your scenario seems implies that the original charge and the chargeback happen in different tax years, because if it was the same tax year, the chargeback would just invalidate the original charge.

In the cross-tax-year case, you pay the chargeback from the historical profits you have been booking from the LLC and book it as a business expense in the current tax year.

If you are running an LLC with zero cash backup to handle such situations, there could be a problem with the business model.