Is RenderToCubemap dependant on the chosen render pipeline?

Hello there,
I am working with a code that generates a simple cubemap, using the camera.RenderToCubemap function, but after switching to HDRP, I have found that the resultant cubemap differs from the cubemap generated with the standard pipeline.
I generate a material with an unlit shader, and after that I proceed to render the cubemap.
This is the cubemap as rendered in the standard pipeline:

And this is the cubemap generated with HDRP:

This is the shader I use:

Code (CSharp):

1. Shader "Impostors/ViewShader"
2. {
3.     Properties
4.     {
5.        
6.     }
7.     SubShader
8.     {
9.         Tags { "RenderType"="Opaque" }
10.         LOD 100
11.  
12.         Pass
13.         {
14.             Cull off
15.  
16.             CGPROGRAM
17.             #pragma vertex vert
18.             #pragma fragment frag
19.             // make fog work
20.             //#pragma multi_compile_fog
21.            
22.             #include "UnityCG.cginc"
23.  
24.             struct appdata
25.             {
26.                 float4 vertex : POSITION;
27.                 float4 color : COLOR;
28.             };
29.  
30.             struct v2f
31.             {
32.                 float4 vertex : SV_POSITION;
33.                 float4 color : COLOR;
34.             };
35.                        
36.             v2f vert (appdata v)
37.             {
38.                 v2f o;
39.                 o.color = v.color;
40.                 o.vertex = UnityObjectToClipPos(v.vertex);
41.                 return o;
42.             }
43.            
44.             fixed4 frag (v2f i) : SV_Target
45.             {
46.                 // sample the texture
47.                 fixed4 col = i.color;
48.                 // apply fog
49.                 return col;
50.             }
51.             ENDCG
52.         }
53.     }
54. }
55.  

I tried to switch the render material to HDRP/Unlit, to see if a shader specifically created for HDRP will solve the issue, but the result is worse:

I suspect that the shader not being adapted to HDRP is the cause, but I don't know how to solve this.
Any help will be welcome.