The problem is that whoever modeled the Lynx tail simply took the Round tail model and scaled it down in the middle to make it shorter while keeping the same UVs for both the round tail and the lynx tail. It was probably done to facilitate the compatibility with markings; a clever but sub-optimal solution. So if your preset looks good and normal on the round tail, you can be 100% sure it's going to look squished and blurry on the lynx one.
The only way I know to remedy this is to make the markings in the middle look stretched out on normal tails so that they will look normal on the lynx one
And the markings remain sharp because they are masks. Your preset (if I'm correct) does not use a mask, it uses one picture file with proper colours and textures, but the masks serve to allow us to choose colours in the game for the markings. Of course, even then only the defined markings remain sharp, take a look at the smooth "highlight" marking on both tails.
The lynx clearly blurs it because the marking fades out unlike the cheetah spots that are one colour in full opacity.
The blurring in the distance is merely to save memory. If the colours and details are close to one another, the colours will blur in the distance because they technically should be far enough so that it makes no difference to the eye anyway; they get sharper as you come close.
Same with the models, take a look at your character from far away with F3 and you will see the same effect. Unfortunately, because the markings are squished on the lynx tail, they are very close even at a close viewing distance, so they blur together prematurely unless they are sharp on the preset and do not have a fade out on the colour or fur.
The other thing would be to save as PNG because PNGs do not compress or ruin quality like JPGs.
