custom Standard Shader alpha issues.

Sorry for the generic title but I'm having a hard time explaining this issue in a simple way. I've made a custom shader based on the standard lighting model, my goal being simply to animate the emission component of the shader. Everything works splendidly, except for the alpha, of all things.

My issue is that the alpha never really becomes fully transparent, even though it should be. The texture maps used have correct alpha, and even if I were to manually set the alpha to zero in the shader, I'd get the following result:

When viewed from an angle like the picture to the right, the issue is less prominent, dunno if this is a clue. To further eliminate possible culprits, all the lighting stuff for the mesh is turned off, lighting is turned off in the shader, and fog as well.

 //
 SubShader {
         Tags {"Queue" = "Transparent" "RenderType" = "Transparent"}
         Blend SrcAlpha OneMinusSrcAlpha
         Lighting Off
         Fog {Mode Off}
         Zwrite Off
         LOD 200
 
         CGPROGRAM
 
         #include "UnityCG.cginc"
 
         // Physically based Standard lighting model, and enable shadows on all light types
         #pragma surface surf Standard alpha
 
         // Use shader model 3.0 target, to get nicer looking lighting
         #pragma target 3.0
 
         fixed4 _Color;
         sampler2D _MainTex;
         fixed4 _GlowColor;
         sampler2D _GlowTex;
         fixed _Speed;
         fixed _Power;
         fixed _Falloff;
         fixed _Alpha;
 
         struct Input {
             float2 uv_MainTex;
         };
 
         void surf (Input IN, inout SurfaceOutputStandard o) {
 
             float4 c = tex2D (_MainTex, IN.uv_MainTex) * _Color;
             clip (c.a);
             o.Albedo = c.rgb;
             o.Alpha = c.a;
             //o.Alpha = c.a * _Alpha;
             //float4 e = tex2D (_GlowTex, IN.uv_MainTex);
             //e.a = frac(e.a + -_Time) * c.a;
             //o.Emission = (e.rgb * c.a + pow(e.a, _Falloff)) * _Alpha * _GlowColor;
         }
         ENDCG
 //

Any ideas on how to tackle this?