This is why I think we need to remember a very important way that the roleplay affects a character sheet.
Just because you have a bonus in something doesn’t mean you always have that bonus. If a character has absolutely no reason to receive their bonus in an attempted action—one that is impossible for them—then they effectively should have no bonus. And at that point, should they even be rolling instead of outright failing? Or is this a failure of the roleplaying (i.e., I want my character to be something they are not)?
The Open Legend RPG system has a good way of explaining this. This comes from one of its attribute discussions:
A character’s energy score governs their skill at manipulating all forms of energy, though the character must have a logical explanation for individual uses of this attribute. For example, a storm mage could use energy for manipulating electricity, thunder, water, and wind - but the GM might not allow him to summon ice and fire.
https://openlegendrpg.com/core-rules/running-the-game/#attributes-and-action-rolls-in-play
In their way of understanding things, the player has a score in an attribute, “energy”, which basically does everything that you can think of for an energy attack: shoot a laser, dragon breathes fire, mage casts cone of ice. But in their system, the numbers are subservient to the roleplay. While the energy score dictates a dragon breath weapon, just because you have points in that same attribute doesn’t mean your character can do that very same thing (e.g., the storm mage can cast electricity but not fire).
When I see BASIC EFFORT, I see it as, for those things my character can do which are BASIC, they receive their EFFORT bonus for that task—but if this were another task for which my character cannot do, they would either not receive the bonus if they attempted such a task or they would not think to do it or their uncertainty, hesitancy, reluctance, etc. would keep them from being able to give it all their EFFORT.