If everything is a thought including the I therefore
Is it wrong to conclude that there is no doer.
Obviously not. It's not wrong. The I and the doer is only two different labels for the same suposed entity. Obviously if you can't find none of it then there isn't. Thats it. It is very simple. You just need to look attentively.
Lets do labeling excercise.
There is no who.
There is nothing here in direct experience that is separate from experienced. Just this. Always now.
If you want to test this, simply do this little experiment that won't even take much of your time. All you need is 20 minutes, a pen & paper.
First write what you are experiencing right now using words I and me. Get right to the point, no past or future fantasy, just plain description of here now.
Like this-
I am laying in bed. I am hearing the rain, I am typing these words..
Do it for 10 minutes. Watch the body, are there any sensations of tightening or relaxing?
Then for next 10 minutes write without words I and me. Just describe the experience as it is happening using verbs:
Waiting for next thought, typing, breathing, blinking, hearing the rain.
Again watch what is happening in the body.
Now compare the two ways to label experience- is one truer than the other? If so, which one? I is a label, not experiencer. Not a thinker, not a doer, not a hearer of rain. I is not what makes eyes blink and it is not a breather, it's a word, that is used for convenience of communication. If it's believed to be an entity, the mind is confused, the body is tensed up. Unconfusing it is simple- bring attention back to now and look once again- is there a me behind the word 'me'? Life is happening. Looking is happening. Getting lost in the story is happening. With or without label I.
Please report back what have you noticed while doing exercise.