I must admit I had a bad few days this week, where I totally forgot when to use the correct last two algos - it's like I went into a mental black hole. But just as odd I came out of that and realised what I was doing again last night.
One of the turn sequences I now do without really knowing what I am doing - so I used to know them as notation, but now I just turn them.
I got into speedsolving about two years ago and most of my PLLs are now fully in muscle memory. I can't transcribe the moves without breaking down what I'm doing slowly, which is difficult. Most of them I can't do one-handed for that reason. I have difficulty executing most of them unless I'm actually looking at the case they solve in a real-time solve, my muscle memory is triggered by the visual recognition (and I don't drill my algs like I should). It's a funny thing but familiar to anyone who has learned to play an instrument competently.
I recently went through a spell where I started doing one of my G-Perms wrong out of the blue. It took me a few days of repeatedly making the same mistake to figure out which one it even was. Thinking is so removed from the equation for that step that I often forget or didn't even register what PLL I just used. But there was a time where I needed a cheat sheet and/or had to remember the individual moves.
I am almost scared to change any part of what I know for fear of confusing myself and am tempted to retain what I do - even the daisy - until I can almost do my current method without thinking.
I still say go ahead and bite the bullet on this one. I'll wager that within a week you'll be just as comfortable without the daisy step as you were with it though, like all new things you incorporate, it'll slow you down at first.
The bad habbit I have got into already is that the last four sequences, for the last layer, I have resorted to memorising just two of them - they are performed anti-clockwise/clockwise, but I have just memorised the clockwise version which I must repeat twice if for example it should have been the anti-clockwise that was performed. I know it's not ideal, but perhaps later I will memorise the others.
I don't think this is such a bad thing for the moment and I'm a proponent of using a cheat sheet for as long as needed when you tackle OCLL or new PLL algs. The vast majority of your time is likely tied-up solving the first two layers still. Extra steps in the last layer isn't a big cost right now so you're fine with that and willing to be lazy. As you progress, self preservation will kick in as those extra steps do start to matter more, you get tired of consulting a cheat sheet, and just plain ol' repetition solidifies them. My primary focus with a mid 20s average is
still improving F2L and my last layer has mostly just naturally progressed from doing solves and incrementally adding algs as I grew tired of extra steps.
I will have a proper read of F2L which I remember reading is part of CFOP --I read the Wiki on this site which was amazingly detailed so need to revisit it and digest.
Is completing the first white square part of CFOP, or is there a separate sequence for that? As I understand it you don't complete that first side using an algo, it must be a technique because at that stage there are too many possibilities.
I believe what you're doing now is a form of "layer by layer" (LBL), and it's effectively CFOP already IMO... you just turn every F2L case into the single "corner solved, edge in the top layer" case by solving corners first in an extra step. CFOP solves the 4 bottom edges first (cross), then solves the the rest of the first two layers as 4 columns, or "slots", by pairing a bottom corner with a middle-layer edge and putting them in place as a pair.
On a solved cube with yellow top and green front, do
R U R'. That will take out the green/orange pair from the front right slot and place it in the top layer. Put the pair back in via
R U' R'. That's pretty much the easiest case, you've just solved an F2L pair. There are a lot of F2L cases but they can be generalized some and solved intuitively; you don't have to memorize the 42 cases listed on the wiki in order to get started. Eventually you do want to treat them like "algs" in the sense that you just do them automatically but like all things, that'll come with practice.
And I must remind myself that I didn't used to be able to complete the cube. I now can, and fairly consistently and most importantly without reading my notes. And recently have gone from 5 minutes to sub 3 minutes.
I reckon I solve somewhere between 10 and 30 times a day so if I keep this up surely it will begin to solidify in my mind.
As you approach 2 1/2 mins you're getting twice as many solves during your allotted practice time than when you were at 5 mins. The extra practice makes you faster, which in turn gives you more solves... it can snowball.