Would it make a difference? No, b/c race is meaningless anyway. There is no reason to pick one race over another, other than saving yourself like 20 min of initial training.
When they first came out with Alpha accts, they were limited to T1 ships of their chosen race. If you started Gallente, then ALL you could fly was Gallente. No Caldari, no Amarr, and certainly no Guristas or Sansha or whatever. If you wanted to diversify outside your chosen race, you had to go for Omega. Then everyone cried, and CCP caved in and gave them other races, and Faction as well.
Add to that the utter failure that is Factional Warfare. At first, you’d think it would bring some emphasis back to the different races. Until you realize that you can totally play a Gallente pilot, flying a Minmatar ship, with Caldari Navy fittings, fighting for the Amarr militia. There is nothing encouraging you to play a Gallente, flying Gallente, fitted with Gallente, fighting for Gallente.
Player race is pointless. Game lore is pointless. It’s window dressing for game features, and hardly anybody pays attention to it any further than they have to. That’s why nobody cares that the Damsel keeps getting her dumb ass kidnapped over and over again, even back to back. Nobody cares what the story is, they just want something to shoot so they can make money.
So no, playing a Triglavian or a Jovian won’t make any difference. Especially if they don’t get to start with the ships those races have. If your plan is to make weak Triglavian ships to start with, and reflavor the existing ones as Faction, you’ve got a long way to go. These ships ARE supposed to be the basic T1s. They just happen to be as powerful as everyone else’s Faction ships. That’s b/c CCP wants there to be motivation to fly them, by making them better than standard fare. They aren’t going to make wimpy ones, or they would have made these wimpy to begin with.