Would you prefer to live in a country with a high public debt and industry, infrastructure and an educated population or in a dessert with zero public debt?
What even means the 'public debt' number when a country have its own currency and inflation is under control? Nothing at all.
This is a question that you have to ask when using the analogy between a country's finances and e.g. a household. It _can_ mean that one part of the country (government, central banks) has created and loaned money to _other parts of the same country_. In other words, liquidity and investment. i.e. good things! This is fundamentally unlike a household.
That's about the most direct example of 'borrowing off the next generation'
Someone has to pay the debts, and it mostly won't be those who benefited from it.