is that normal?
Normal enough. Traders all have differences in style but more or less fall somewhere on a spectrum between two extremes: discretionary and systematic. Your "systematic" element is the screener, and your discretionary element is whatever you are doing after. So you're somewhere in between, but it sounds like you lean discretionary since the methods of execution is what really matters in the end.
in essence I'm asking if trying to break it down in mechanical rules makes sense or should I just focus on carrying on with intuition
If it works, it works. Might not always work though, that's always the tricky bit that you have to plan for in advance. Systematic is always nice because it largely removes the human element and all the faults that we potentially bring to the table. Execution is very black and white, there are no grey areas. But it can also sacrifice real-time adaptability and perhaps be too rigid to work in all but a handful of market environments. Discretionary is only as good as your ability to manage your own expectations, emotions, etc., all the potential shortcomings that humans tend to exhibit when greed and fear inevitably rear their ugly heads. As a discretionary trader your most important task is determining when it's time to STOP, sit back, and reassess. So it helps, even as a discretionary trader, to have systematic elements in regards to risk management and managing your own mindset since ultimately you are the thing doing the execution. Prevent tilting etc.
The market wizards books are a good read to see into the minds of different successful traders. Many of them are discretionary.