No you're supposed to have glaring weaknesses, like not even making a DC 20 Int save even if you roll 20 on the die (because you dumped Int). The game was designed this way, and even if you try you can only shore up your weaknesses by completely abandoning any hope of being actually good at the things you're supposed to be good at. (Spending multiple feats just to bring your poor saves from abysmal to still extremely poor just isn't an attractive option)
PC are supposed to have glaring weaknesses. However the punishment for having a weakness should not be a spiral if focused on and every PC has 4 of them.
And that is the question.
Is D&D supposed to devolve into rocket tag. Because if you turn off the optional rules, it's rocket tag.