Yes, I agree that Splattershot does a lot of things well, but it appears I've missed a few major points.
For starters, like you mentioned, the Splattershot is mid-ranged, but can kill at a longer range thanks to the Burst Bomb. Although this may be true, the chances of someone getting killed by two direct Burst Bombs are very low, especially considering the time it takes for the bomb to travel, and the lag time between throwing two bombs, which is long enough for someone to avoid at least getting directed by the second one.
Also, thanks to the recent Burst Bomb nerf, users will be less likely to try and throw a third bomb by spamming tons of Ink Saver Sub, because of its decreased effectiveness on Burst Bombs. Some people will still do it, but they will leave themselves open with their ink tanks mostly depleted. If this happens, get a good aim and within range quickly, as it might be the only chance you have to catch them at low-ink.
I'll mention this, only because it keeps getting brought up to me. The fact that Splattershot can rush down most weapons is a complete lie. In fact, any competent player would be able to notice the position of said Splattershot long before it can reach a flanking point, especially chargers, which are supposed to be the eyes of the team. This would be a prime opportunity to cut off their route by moving yourself into a better position, throwing a bomb, using a ranged special, or dispatching a teammate to do the above if you can't. In a 1-on-1 situation, you must always have better positioning, whether it be on snipe with a long-ranged weapon, or up-close and personal from behind an object. Odds are if you choose up-close, you will lose. However, if you choose a longer-ranged approach, and you can do it correctly, your Splattershot troubles should be no more.
In the event that you do get "rushed down", there are a few steps you can take to ensure your survival. The first of these would be using an "instant" special, a special that grants quick protection or damage, such as Splashdown, Ink Armor, Baller, and Ink Jet. Of course, this only works if your special is charged and the weapon you're using has one of those specials. If that doesn't work out for you, you should try using your main and sub weapons, but use them wisely! The worst feeling is having your ink tank run out because you overthrew your Splat Bomb and inevitably got killed. Be aware of your ink consumption, as well as theirs. The last thing you could do is to jump to a teammate or back to spawn. You need to be familiar with the buttons needed to accomplish this, and how to do it quickly.
If my facts get shot down again, I will address the issues. Otherwise, I fell I have covered any missing subjects on this "best weapon" thread.
*end rant*