I'm pretty sure that is NOT a tiger pistol shrimp. Tiger pistols have patterns on them similar to an actual tiger, hence the name.
https://www.reeflifeaquariums.com/v/vspfiles/photos/Tiger-Pistol-Shrimp-2.jpg
There are a lot of predatory pistol shrimp. You really should research a species BEFORE you buy it. There is even a nature documentary (either blue planet or planet earth, I dont remember which now) that shows some pistol shrimp killing a cleaner shimp.
Put a hermit in qt with the shrimp. See if it survives. Hermits kill each other constantly so once added to the display tank you may never know if the shrimp is killing them or they are killing each other.
I also agree that doesn't look like any tiger pistol shrimp I have ever seen. Tiger pistol shrimp is a name given by hobbyists and stores for easy recognition because Latin names can be tough to memorize. The ones over in America that are referred to tiger pistol shrimp only get to a maximum size of 1.5-2 inches without antenna. If yours has a body of 2.5 inches and 4 inches with the claw, it's not the same species, not even a color morph. In China though that species may very well be commonly referred to as a tiger pistol.
Probably a stretch, but any idea where is was collected from? It's definitely an Alpheus species but I can't find the color pattern anywhere. Some crustaceans can change colors when they molt to blend in with their surroundings, go from red to green for example. Knowing where it was collected may help narrow it down.