@Byron This is interesting. I always thought the rule of thumb was 6,500k lighting for planted tanks. Funnily enough I've got two 10,000k flourescents which came with the aquarium and haven't been used. Perhaps I'll switch over to one of them for a month or so and see how plant growth is affected.
The spectrum of the tube/bulb is the important thing to know, as that indicates the "highs" in wavelengths emitted by the tube/bulb. The Kelvin rating is the colour temperature, as we perceive it. The two may or may not be related.
Diana Walstad says she will select any tube with a K between 5,000K and 7,000K, or a CRI of 80-100, either or both. But without knowing the spectrum, it is not possible to know if the tube is adequate in red and then blue. When I reference daylight tubes with a 6500K I name the brands, because I know from checking that the spectrum is good. I check the spectrum graph from the manufacturer.
As for your 10,000K tubes, I would suspect they are inadequate. I have purchased new light fixtures for five of my tanks during the past year, and in every case the tubes that came with them were garbage and went straight to recycling; manufacturers were All Glass Aquariums, Perfecto and Aqueon. They were supposedly "plant growth" tubes, but they are like the Aqua-Glo and Flora-Gro series, high in red and blue to give a purplish hue, but very weak in intensity compared to the full spectrum/daylight tubes. About half the intensity, which makes a big difference.
I had a Lightning Rod (brand) 11,000K Ultra Daylight tube over my 115g previously, and it was good. High in blue colour (the K) for a "cool" white, but the spectrum graph shows good peaks in the red, blue (very) and green, which is your tri-phosphor business, and very good plant light. I can't find these tubes any longer locally. The photos of my 115g under "Aquariums" below my name have this lighting combo, one of these plus a Life-Glo 2. The tubes have worn out (lost intensity) and I have replaced them, but not having the Lightning Rod I've used Phillips Daylight Deluxe which is good but I've lost the "coolness" of the LR.