Hello,
But isn't some signal lost in the extension cables themselves?
That is correct, the longer the cable, the higher the loss, however, how much of the signal is attenuated also depends on the characteristics of the cable itself, as each has a different loss over distance value. You can also find online loss calculators such as this for evaluation. As a general rule of thumb it is suggested not to exceed cable lengths of 10m, but you should always try keep it as short as possible.
Do they not interfere each other? Are they not getting the same signal making AUX antennas redundant/useless?
In general one of the AUX inputs of EG12(RUTX14) modem is diversity input, used for reception only. The necessity for this AUX antenna comes from assumption that if a signal experiences a null at a certain spot due to destructive multipath interference, it will still be possible to receive that signal at some other spot of the area as it is unlikely to be a null at some other place. However, situations like these are mostly experienced at cell coverage edges or spots, where signals struggle to penetrate. There are various recommendations of antenna spacing, ranging from fractions of a wavelength to several wavelengths, but I lack expertise to state specific numbers, however, as you have suggested, it can be considered redundant to use AUX antenna under good coverage conditions.
A thing to note though, is that RUTX14's modem has support for 4x4 MIMO, and having all of the antennas attached should provide increased throughput due to the device being able to establish connection over several downlink data streams.
As for the antennas you have listed, I would suggest to simply concentrate on their performance characteristics, and whether they apply to your application requirements.
Best regards,