So I'm learning Algorithmic F2L. I learned intuitive F2L just 3 weeks ago. Started CFOP at that same time, and I learned full PLL about a week from starting CFOP as well as 2 look OLL. (For context). I know how to do 31/41 of the basic F2L cases either algorithmically or intuitively but efficiently. E.g. For the edge slotted (on right) but flipped and corner having white face you on top, I do U2 R U R' (to pair) and then something like: y U' L' U L to insert. Like that example, I just intuitively found efficient ways.

The only ones I need to learn are 4 of the 5 'both slotted' cases, and 2 of the 4 'edge slotted' cases as well as 4 of the cases where both pieces are on top (connected) and white is on the side of the corner. I can do all of them, but they are usually very inefficient (like 15-16 moves with awkward finger tricks).

So my concern is about all the other 126 odd cases, where the edge and/or the corners are slotted in the wrong place. Does knowing those really help (obviously not all 126, but maybe 20 from each section)? Isn't just applying one of the 41 algorithms and slotting it differently sufficient?