it totally depends on how you define "better"
In most cases it comes down to the quality of the display rather than the resolution you're displaying. the differences between a CRT and an LCD have a much more dramatic effect on the picture quality outside of the resolutions they support. in terms of refresh rates, response time, scaling lag, natural aliasing/anti-aliasing, color quality, black levels, contrast ratios, etc.
^all of those factors have a much higher effect on how good the picture looks then whether or not the display does 1080i or 720p.
Though if you're that hung up on resolution AFAIK CRTs are the only display type that can natively support both (much like a PC CRT Monitor)