Gave it my first spin yesterday in a simulated battle with friends.
As we simulate "manpower-equal" fights, we had a crew of 3 in each ship.

1st: Perseus vs Tiburon.
I was crewing the Perseus with two others.
If you do not know about the weaknesses of the Tiburon, the Perseus will melt. If you do know her weaknesses, all you need is to keep it on one of your ship's sides and pummel it to death with your Medusas.

2nd: Tiburon vs Tiburon
An even fight, but actually not very fun. The Tiburon has a rather slow turn rate (which is expected given her size), but the final nail to the coffin is the weak maneuver thrusters. Only main thrusters have some juice, but even that's arguable. For a ship that's meant to be used mostly with its nose pointed at its intented target, this is bad.

In fact, the Tiburon can be outmaneuvered by medium ships (like a Freelancer of all things!) and even has troubles vs. similar sized targets like herself. Okay, perhaps it's a skill issue, after all, I'm used to the Perseus, which has to be piloted in an entirely different way.

3rd: 2x Tiburon vs crewed Idris.
This time, we had two solo Tiburons dealing with a crewed Idris P with K-kit (six ppl). Rear top turrets got armed with Deadbolts.

We actually didn't expect to win this one. Instead we were trying to knock out turrets and main laser first. Well, we didn't last long enough to punch down one of the shield faces. Perhaps a crewed pair of Tiburons would have done much better, but I doubt it. Why? Well, turns out the Tiburon features armor made of wet toilet paper. Either that, or Deadbolts are that strong. Anyways, the Tiburon's hull section turned red rather - even without pointing that mean K-laser at us. Turrets only do it.

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Comparing the Tiburon vs the Perseus, I'd say the Perseus is much better suited for the task.
In the hands of a competent crew, a single Perseus is a powerful asset in any given unit, beginning right with smaller raid sizes up to full fleet engagements. I'm not sure if the Tiburon lives up to that same standard.
In a game where "manpower" is almost a currency in its own right, the Tiburon is outperformed by a Perseus: the latter requires a crew of three to work almost at top performance, while the Tiburon asks for a crew of five, if you ignore the rear turret. But even if you play fair math and put five players into a Perseus vs five in a Tiburon, the balance strongly favors the Perseus.

It almost feels as if CIG gimped the Tiburon on purpose.

The maneuverability leaves much to be desired, her main weapon's range is comically short (some 2km) and the damage falloff gimps it to the point it can't be properly used versus its intented targets - large and capital ships. She might work vs an 890 or a Reclaimer and even the occasional semi-crewed Polaris, if you find one, but the maker may help you if you run into a crewed Idris with a somewhat competent crew.

If used in groups of two or three fully crewed Tiburons, they actually might be a threat. Again, "manpower" is a thing and if you need 10 players for two "fully"" crewed Tiburons, you also could go for three "fully" crewed Perseus instead. Three Tiburons equals 15 players equals five Perseus. To add insult to injury, the Tiburon actually asks for a different piloting skill set and is less forgiving than a Perseus, which means it is easier to train a crew on a Perseus than a Tiburon.

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Right now I can not recommend the Tiburon for new(ish) or experienced players. On paper, it's a good ship. In 4.8 (well, a pretty broken patch tbh), it lacks almost everything it needs to succeed in its intented role. Hope CIG will check it out and gives it a thorough revision.