The NA pump has shorter gears than the Turbo pump.
All are made by Asin. (The Toyota OEM ones just have the Toyota name, and Asin name on them, and the Asin ones have the Toyota name ground off....)
Same exact pump OEM to ASIN.
Not the same NA to Turbo.
Both pumps fit either block. (With or without squirters...)
Both pumps use the same drive gear.
The Turbo pump is a very good upgrade to the NA pump.. There is no upgrade for the Turbo oil pump...
BTW, we took apart a high pressure, high performance SBC Melling pump, and guess what?
The gears were almost the same height.
Very cool. The Melling high volume, high pressure pump has larger diameter gears with deeper webs, so it does move more oil however. (No easy way to upgrade the stock pump.. we tried.)
Best option is to take apart the new pump, clean it up. (I have found dirt, machine chips and other debris inside every new pump I've ever taken apart.. ) Port the pump exit point, and get ARZ's hard crossover pipe upgrade if you can. It removes the banjo bolt setup, and it's restriction on oil flow.
Shim the new pump, or your old one if your using it again. A single 10mm nut placed between the spring, and the valve plunger/spring retainer will raise your oil pressure into a better range.
Shim the external cooler bypass, or better yet, remove that whole abomination, and get a remote filter