There should be no difference. The only difference should be in bandwidth.
You can't measure signal to noise ratio with an antenna. An antenna merely transports signal and noise received by it, it doesn't generate any of its own unlike a transmitter, the galaxy, the planet, electronic devices, components within those devices.
The "cubical quad" antenna was developed by Clarence C. Moore (patent no. 2,537,191, W9LZX) to eliminate coronal discharge that the yagi antenna's they used suffered from. Coronal discharge is a source of noise in a radio's receiver.
Further, reports from people changing antennas make observations that disagree with this statement all the time. Look at virtually any a99/imax to Maco or more recently a99/imax to Gainmaster antenna swap reports.
It is true that some sources of noise will be the same from antenna to antenna, but there are also some sources that can be minimized if not eliminated based on an antenna's design.
The DB