That is precisely how I defined CRI: As a measure that indicates that the human eye sees things as they should be under ideal sunlit conditions.
Lumens, on the other hand, provides us very little information when choosing a plant bulb. Lumens are an indication of percieved luminosity, or intensity, based on the photopic curve. The photopic curve is a weighted balance of what our eyes see, as humans.
It just so happens that the photopic curve that lux is based on is just about the opposite of the photosynthetic curve that plants are most sensitive to. Taking a look at that table, many high lumens bulbs had very low useful output in the photosynthetic spectrum. Similarly, many seemingly low intensity bulbs, such as the Gro-Lux with only 1200 lumens, had some of the most intense PUR output.
There are indeed many indicators of bulbs which provide strong output for plant growth, but most of these are misconceptions. I had been under the misconception that lumens was the most important specification to consider. Now I can see that this myth is misleading.