There shouldn't be a difference.
It has been said that the latest "RJ" strings are using the same LED part as used in the Technicolor. The characteristics should be the same.
The original "RJ" strings used less power.
I recall from a couple years ago, that the rating of the original strings was .356W/pixel.
According to the current page, it is .3W/pixel.
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LoginThe new technicolor strings also list .3W/pixel.
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LoginChip type will not matter... so WS2811 or TM1804 consumes the same power.
I think the discrepancy is the measured current for the technicolor strings... 100-pixels (technicolor) use 5.5A. 128-pixels (RJ's original) use under 4A.
It seems that the specs on Ray's site are not matching real world experience.
I believe there has been confirmation of the increased power consumption... but maybe others need to also check this out.