Looks good to me. Plus, I like the easy access to all the I/O on the back, adroitly chosen screen size, metering displays and the spacing of the control layout.
If looks aren't to taste: there are are many options.
1. Have an ego make-over, so that what appeared ugly before is now beautiful. (This approach has a proven track record in poorly lit bars with appropriate beverages: it also works with human subjects, not just audio equipment).
2: Put it unobtrusively at the back of the stage: Correct me if I'm wrong: but the black finish is restrained, and the shocking lack of chrome or a marquee sized logo implies that the Axe FX III is content with a nominally *Albertian aesthetic of discrete functionality, and is not trying to visually compete with the performer regarding stage presence. The glow of the logo, respectfully scaled, while not readable from the audience, is still distinct enough branding to function to assure listeners who are not confident of their ability to ascertain the quality of the music: that the guitarist, at least, is serious enough about the art that only the finest in instrumentation is suitable, never mind that he or she may be not have successfully dressed according to accepted fashion, or be playing to their full capabilities.
3: If even that isn't enough, put a bag over it or install it in the head cabinet for a Randall Satan, Sears Silvertone, Pinball Machine, or whatever appearance is required for aesthetic satisfaction.
* Leon Battista Alberti 1404-1472 "Beauty is that reasoned harmony of all the parts within a body, so that nothing may be added, taken away, or altered, but for the worse."