Did you ask that question to Asher? If you haven't, you can still simply call him and ask.
I also noticed some differences between noting as taught by ajahn tong-method and MCTB. So far I've always sticked to the Ajahn Tong style. No need to change something that works.
Eelco ten Have:
Especially the walking meditation confuses me because in my mind when I notice thinking. Then go through the process of stopping before acknowledging I was thinking the initial though is gone already so acknowledging thinking at that time is no longer truth. I have circumvented this by pointing my awareness to the sense organ or sense door that caught my mind. So if a bird flew bye and is gone I would still acknowledge seeing, seeing, seeing with a direct awareness of what is in my visual field at that time.
Then note: knowing, knowing, knowing.
Eelco ten Have:
What do you think. I feel I am somehow not skilled enough yet to let go my instructions. On the other hand….
Reading the above statement fills me with doubt about how to go about it… Like I said this technique does provide some stability and time to settle the mind. If I were to note every sensation I would not be able to settle on the breath or even take a first step in walking meditation as there’s always something to notice…
You don't get points for noting every sensation there is. If you ask Asher about this, he'll probably answer something along the lines of: "most people make the mistake that they try to label everything, and get totally lost in all the things the mind does, so they fail to really settle on the breath and don't make progress."
When I did a retreat with him, he repeated this point several times. It seemed quite important for him.
Does that make sense?