Wow, you picked a lot of work no matter which option you choose. If you already have the LSJ, then I would work with that. The TVS1320 would not be my first choice for power, as it quickly overwhelms the stock intercooler. A turbo kit with an external intercooler can make bigger power than the TVS. There are lots of injectors available for the LSJ. I have the FIC 870 CC Split Spray injectors (Bosch EV-14ES) but if you want even bigger, I hear good things about the Injector Dynamics ID1050X.
The LNF already has the turbo, but they also come with that high pressure fuel pump, and direct injection. This is good if you want to big power with a stock engine, but it also reduces option if you want bigger power. You can run the Opel injectors or the LNF injectors, but after that, I think the only option is to add a 5th injector... which is a low pressure intake injector before the stock direct injectors. Not sure if this is integrated with the stock ECU, or if you need to go to an aftermarket ECU. Also tuning the stock ECU is a more specialized skill than the LSJ ECU.
The stock turbo does not really have noticeable turbo lag. How much lag does the bigger BorgWarner 7163 or Z57 turbo have??? IDK, but would assume it come with some lag.