I think the original motivation for man_made=paifang was that paifang are secular structures, as opposed to torii, which are religious. It was too much of a stretch to apply man_made=torii to something so different in architecture and significance. Some of the examples in your list are also religious structures. The Vietnamese Buddhist three-door gate (cổng tam quan) has influenced the popular style of secular village gates (cổng làng) to have three aisles and faux roofs (or “gables” as documented), but village gates would never be called tam quan.
These can easily fall under the umbrella of “ceremonial gate”, but it raises the question of whether to also include gateways that are functionally equivalent to these secular structures yet architecturally even more distinct from East Asian religious or folk architecture. After all, nothing about the term “ceremonial gate” would literally imply three aisles, faux roofs, or any relation to East Asia.