I found my TPI results interesting. I scored between 31 and 39 in all areas with Apprenticeship (39) and Developmental (37) being the highest and Social Reform (31) and Transmission (33) the lowest. Even though this meant I had one dominant (Apprenticeship) an one recessive (Social Reform) but nothing veered to the extreme high or low in one direction or another.
I am not sure what I think of the results and if it fit my image of myself as a teacher. Years of one-on-one music lesson teaching has always been a side job for me, no matter what else I was teaching (including every elementary grade from Preschool through fifth grade, instrumental music grades 4-12, high school ESL, high school and adult music theory, high school music appreciation, sixth grade Information Literacy, or Library K-6 at some point or another) and that requires teaching of practical skills and preparing students for public performance using those skills so I see a correlation to the dominance in apprenticeship. In my early teaching training I was mentored in a developmental approach and it has deeply impacted my thinking so that score showing up a bit higher also seems to make sense.
My only real internal discrepancies (disagreement between belief, intention, and action) occurred in social reform and transmission. I think I felt the most cautious and conflicted when I answered those questions in the inventory. Regarding social reform, I do feel a caution in using the classroom as a platform for lobbying for some political or social ideology because there is so much room for well-intentioned and misguided energy. There is a degree of subjectivity, and slant even in news reporting. I do agree we need to teach students to think, but to also do their homework and research the facts from all angles. I personally am cautious about jumping on any political or social reform bandwagon. Part of that is because I am old enough to have seen some social movements turn out to be based on incorrect or incomplete information. That no doubt influences my teaching. About transmission also, I felt a little conflicted answering those questions as well, because though I have had many times in my life where I have taught subjects I had a high degree of expertise in, I have also found myself in positions of teaching subjects I was not expert in simply because it was a need (ie. the year I started 8 beginner violinists when I had not spent any time learning the violin myself and had to stay a few lessons ahead of my students all along the way, or becoming an ESL tutor because I had had the experience of living in a foreign culture and trying to learn another language and could identify even though I had no coursework in ESL).
I really would be inclined to think the TPI results for a teacher online and in a traditional classroom would be the same. I think your core image of what is important to good teaching will be transmitted in all your teaching regardless of the environment.