At 14 MHz, 100 feet:
RG-8X = 1.087dB loss. Of the 100 watts, 77.8 reach the antenna.
RG-213 = 0.741dB loss. 84.3 watts reach the antenna.
0.346dB difference between the two. That isn't zero, but it may be very hard to notice. For the purist, it's an easy answer, but RG-213 isn't the ceiling. Consider the cost of 100 feet of RG-213 and then look at LMR-400 (0.454dB loss/90 watts to the antenna) or LMR-600 (0.287dB loss/93 watts reach the antenna).
If the RG-8X is already installed and working, I'd have to convince myself pretty hard to put the effort into changing that out. A few more watts getting to the antenna is not likely to make/break anything, but for some, it's worth every penny.