Unicorn; you are NOT right in your thinking.
'Spherical candela' is redundant. Here is the definition of a candela:
<BLOCKQUOTE><font size="1" face="Verdana, Arial">quote:</font><HR>The candela is the base unit in light measurement, and is defined as follows: a 1 candela light source emits 1 lumen per steradian in all directions(isotropically). A steradian is defined as the solid angle which, having its vertex at the center of the sphere, cuts off an area equal to the square of its radius.<HR></BLOCKQUOTE>
Thus a candela assumes isotropic radiation.
'Beam candela' is a very confusing and misleading term. Here is a quote from the same source:
<BLOCKQUOTE><font size="1" face="Verdana, Arial">quote:</font><HR>The biggest source of confusion regarding intensity measurements involves the difference between Mean Spherical Candela and Beam Candela, both of which use the candela unit (lumens per steradian). Mean spherical measurements are made in an integrating sphere, and represent the total output in lumens divided by 4p sr in a sphere. Thus, a one candela isotropic lamp produces one lumen per steradian. Beam candela, on the other hand, samples a very narrow angle and is only representative of the lumens per steradian at the peak intensity of the beam. This measurement is frequently misleading, since the sampling angle need not be defined.<HR></BLOCKQUOTE>
Please note that even beam candela are expressed in steradians; this makes the distance at which the light is measured irrelevant, as it can be easily calculated for any distance using the inverse square law. There ARE two conventional distances, however, one foot and one meter.
Another thing you have overlooked is that all of these measurements are of photopic flux. This is dependent on the color temperature of the light emitted, and also dependent upon whether the eye is dark adapted or not.
Go back and read, really read, the source I provided above. It took me about four or five times before I could make sense of it.
Walt