Synthetic shaving brushes can equally destroy any hard soap, make perfectly great lather, they require very low maintenance before or after the shave (drying, etc.), they are far better as far as hygiene is concerned, and finally they are rather inexpensive as compared to their badger hair counterparts.
If you feel that synths are inferior, this is perfectly fine. Means that for a number of reasons, some of which you already described, synthetic brushes are probably not for you. However it is good to keep in mind that there are more expensive badger hair brushes which perform so good that they completely blow away these low-end Chinese ones. We always get what we pay for.
Similarly, many people do very much prefer natural badger hair on their face, instead of synthetic bristle hair. While it is true for many that the feeling you get from a good badger hair brush cannot be replaced or reproduced by anything else, there are also people who swear by the effectiveness, practicality and overall character of synthetic shaving brushes.
You should certainly explore the world of badger brushes but I'd suggest you allow a very small doubt in the whole equation, as you never know, in a year, or two or three, you may also start to feel the desire to give synthetics another go.