But, no. The description ‘ teaching publicly and from house to house ’ mainly applied to evangelizing among unbelievers. That is plain from his next words.
فَٱلْإِشَارَةُ إِلَى ‹ ٱلتَّعْلِيمِ عَلَانِيَةً وَمِنْ بَيْتٍ إِلَى بَيْتٍ › تَنْطَبِقُ بِشَكْلٍ رَئِيسِيٍّ عَلَى ٱلتَّبْشِيرِ بَيْنَ غَيْرِ ٱلْمُؤْمِنِينَ .‏