The issue here is not the dispersion of the tweeter by itself. At the crossover frequency, 1,800 Hz for the RP-260, the woofers and tweeter both produce an equal amount of sound. This can create uneven dispersion of sound, called comb filtering. If these drivers are in a vertical line, this is a problem only if the listener moves up or down. But if these drivers are in a horizontal line, uneven dispersion can be a problem for those sitting off to the sides, but not much of a problem for those who sit within 30° of directly on center.
Depending on details of the crossover, this can be a problem within one octave of the crossover frequency, about 900 Hz to 3,600 Hz. Human voices cover a range of frequencies from as low as 100 Hz for men, and 250 Hz for women, to over 6,000 Hz.
As Wayne said above, bass response is not an issue at all for a center channel speaker. In fact, I'd guess that a 5" or 4" woofer might have an advantage if they allow a higher crossover frequency. I don't know what crossover frequency Klipsch uses for these speakers, but you could check.
Reproducing the human voice is the main job of a center channel speaker. It has to do it cleanly without distortion because we are all very familiar with how human voices should sound - just like we all notice if a TV's flesh tones are off when we see faces.
As a guess, I think the 5" option might work better, if that center channel is significantly more sensitive than the 4" option. It will be closer to the sensitive of the RP-260 speaker you have on either side. Of course, the advantage of the 4" option, if Klipsch uses a higher crossover frequency for it, would be less comb filtering in the voice reproduction frequencies. As always in speakers, there are trade-offs among different designs.