I am an airline pilot and I live UK non-resident (expat) and DO fly to the UK. The company who does know the most about these taxation cases is linked below and deals with many airlines expats, eg Cathay, Emirates etc. I have used them on several occasions and fully support the great work they do on making this minefield clear to simple pilots like me.
I am not a broker for them but strongly suggest you contact them if you have any questions regarding your status and payment of UK tax.
Fry Group - Tax planning, advice and tax returns for expatriates
Just thought I would add that they ask for all dates entered into the UK either on duty or on personal business and these dates are submitted with the tax return. These guys know the details and will keep you in the clear.