I've reindexed the sentences. I think all but one of them are sense 2. In a couple of cases it's hard to tell without context.
Sense 1 is the medium, especially the visual portion of television, while sense 4 is a video recording/clip (as in ミュージックビデオ).

@@ -28 +28 @@
-<xref type="see" seq="1105480">ビデオテープレコーダー・1</xref>
+<xref type="see" seq="1105480">ビデオテープレコーダー・2</xref>

Reopening to remind me to work on reindexing the 19 sentences. I'm not quite sure how senses 1 and 4 differ.

gg5, daij, meikyo, koj
ビデオ	        14,272,453		
ヴィデオ	        41,919      - sk
ビディオウ	0	    - dropping
ヴデオ           0           - dropping

All the refs lead with this sense. I think we should too.

@@ -11,6 +11 @@
-</r_ele>
-<r_ele>
-<reb>ビディオウ</reb>
-</r_ele>
-<r_ele>
-<reb>ヴデオ</reb>
+<re_inf>&sk;</re_inf>
@@ -20,3 +15 @@
-<xref type="see" seq="1105470">ビデオテープ</xref>
-<misc>&abbr;</misc>
-<gloss>VHS tape</gloss>
+<gloss>video (esp. a televised image)</gloss>
@@ -26,4 +19,6 @@
-<xref type="see" seq="1031840">オーディオ・1</xref>
-<xref type="see" seq="1919300">映像信号</xref>
-<xref type="see" seq="1919300">映像信号</xref>
-<gloss>video (vs. audio, in signal processing)</gloss>
+<xref type="see" seq="1105470">ビデオテープ</xref>
+<xref type="see" seq="1105390">ビデオカセット</xref>
+<misc>&abbr;</misc>
+<gloss>videotape</gloss>
+<gloss>VHS tape</gloss>
+<gloss>videocassette</gloss>
@@ -32 +26,0 @@
-<pos>&n-pref;</pos>
@@ -34,3 +28,8 @@
-<xref type="see" seq="1105400">ビデオカメラ</xref>
-<xref type="see" seq="2321690">ビデオカード・1</xref>
-<xref type="see" seq="2312490">デジタルビデオ</xref>
+<xref type="see" seq="1105480">ビデオテープレコーダー</xref>
+<xref type="see" seq="1105480">ビデオテープレコーダー</xref>
+<misc>&abbr;</misc>
+<gloss>videocassette recorder</gloss>
+<gloss>VCR</gloss>
+</sense>
+<sense>
+<pos>&n;</pos>
@@ -38 +37 @@
-<gloss>video (usu. in compounds)</gloss>
+<gloss>video (short film)</gloss>

Comment 1 
The thing for that example though is I've definitely heard Japanese people use it that way. For example, Sambon Juku often says it in his sign offs, as seen here :
https://www.youtube.com/watch?v=ONoDHftxgAI&t=550s
"このビデオが面白かった、役に立ったと思ったら、ライク、コメント、シェア". So I don't know.

Comment 2 in reply(abbriged):
One thing with Katakana is that their most basic function is meant to signal loan words, so native younger generations just use it as a direct reflection of their English counterpart instead of the supposed "correct" etymologically aware usage. It depends on how you want to sound, if you want to sound like a younger generation's speech you will try to mimic even the not-so-rigid way they use the language, but if you want to speak in a formal or business situation you definitely don't want to sound like you are recording a TikTok video.

Reading through the comments of the aforementioned post, it seems "kids these days" might be picking up "video" again (a la ビデオクリップ)... It makes sense, but I don't know what that says for this entry. Is  ビデオ = 動画 [sl] or [col] then? (a separate sense)