Oops. Missed the point.

Marcus was referring to the PoS of the first two senses. They're 連体 in the kokugos so adj-pn is correct. Sense 3 is definitely an adverb.

@@ -29 +29 @@
-<pos>&adj-f;</pos>
+<pos>&adv;</pos>

Yes, probably.

@@ -29 +29 @@
-<pos>&adv;</pos>
+<pos>&adj-f;</pos>

Saito JE also has 飛んだ as a headword.

The two examples that I mentioned in my previous edit:

「おやお嬢様、飛んだ迸りですこと」
  妹背貝 (1889) by Iwaya Sazanami (巌谷小波)

「飛んだ御造作を頂きます」
  高野聖 (1900) by Izumi Kyōka (泉鏡花)

I could go find more. I just stopped at two.

Google N-gram Corpus Counts
╭─ーーーーーーーー─┬────────┬───────╮
│ とんだ災難　　　 │ 16,879 │ 96.4% │
│ 飛んだ災難　　　 │    639 │  3.6% │
├─ーーーーーーーー─┼────────┼───────┤
│ とんだ勘違い　　 │ 10,598 │ 98.2% │
│ 飛んだ勘違い　　 │    198 │  1.8% │
├─ーーーーーーーー─┼────────┼───────┤
│ とんだハプニング │  6,352 │ 96.2% │
│ 飛んだハプニング │    253 │  3.8% │
├─ーーーーーーーー─┼────────┼───────┤
│ とんだ迷惑　　　 │  3,534 │ 97.3% │
│ 飛んだ迷惑　　　 │     98 │  2.7% │
├─ーーーーーーーー─┼────────┼───────┤
│ 　　とんだ内容　 │  2,801 │  N/A  │
│ 　　飛んだ内容　 │  3,459 │  N/A  │ - includes false positives
│ ぶっ飛んだ内容　 │  2,697 │  N/A  │
│ ブッ飛んだ内容　 │    245 │  N/A  │
├─ーーーーーーーー─┼────────┼───────┤
│ とんだ品揃え　　 │  3,085 │ 99.2% │
│ 飛んだ品揃え　　 │     25 │  0.8% │
├─ーーーーーーーー─┼────────┼───────┤
│ 　　とんだ目　　 │  1,635 │ 84.9% │
│ 　　飛んだ目　　 │    290 │ 15.1% │ - includes false positives
│ ぶっ飛んだ目　　 │     36 │  N/A  │
╰─ーーーーーーーー─┴────────┴───────╯

I missed the "か" at the end of kojien's note.

Still, I think it's just an old-fashioned and rare form. We have many such forms tagged with [rK] that wouldn't be appropriate to use in modern formal writing.

It might be etymylogically correct (though koj's note ends with ...か) but still deemed incorrect in formal writing, or at least be considered irregular. I don't think it really qualifies for rK either.

Btw shouldn't PoS be adj-f?