This is very difficult to answer and a board shaper would give you a better idea.
It depends on the board shape and size as well as the fins.

Generally speaking:
Quads are faster than thrusters (the fins are usually smaller on quads and the water clears the tail with less turbulence/drag)

Thrusters have more power in the turn, quads tend to slide out with increased pressure (a big bottom hand turn on a wave, the thruster will have more chance of holding it, the quad will tend to slide or skip out)

Thrusters tend to have longer drawn out turns, quads tend to be quick and snappy as well as skatey.

The tail shape differs too, quads tend to be fitted to a wider trunk style tail which makes snap turns and slide turns easier to do because of the extra tail area and smaller fins. A traditional thruster style board will have less tail area, even a pin or round tail that helps hold the tail in during powered turns.

As your board is a mix, the thruster setup won't hold as much power in the turn as a more traditional board but due to the tail area will allow you to snap and slide the tail easier.

The thruster probably tracks better as it will hold its line easier. I think the quad will track upwind as well but you will need to use the fins more and probably need to ride it flatter to achieve this, similar to a race board technique.

With these boards it is a compromise
I would use the quad setup for powered up riding in mush and beach breaks.
When you get into better quality waves and want the board to surf, then I would lean towards the thruster setup and use the kites power less. This is a lot more advanced though.

I don't think five fins will work, there will be too much drag and I think the board will be hard to turn and sluggish but I have never tried it.

As I said the above comments are very much a generalisation. I hope it helps.

both Mick and Parko went the quad option this year at Teahupoo

so it was an all quad final.. says something about quads v's conditions

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both Mick and Parko went the quad option this year at Teahupoo

so it was an all quad final.. says something about quads v's conditions

You are right, the current generation of pros are challenging the older beliefs in surfing and also the board technology is far better but hey they are full time professional surfers and athletes, I think the tried and tested gear and techniques generally hold true for the majority of board riders outside these elite few. (You may be one of them, unfortunately I am definitely not)

Basically what the others said quad is way quicker but thruster is better for straight line stability,5 fins all at once is crap twin fin is quick as but loose on the tail ,rode two identical boards back to back over two days one quad one thruster now all I ride is quad,although it all depends on the board have ridden narrow tail thrusters that have been way faster than wider tail quads.

Im 100kgs and mainly ride a North WAM.

I find the tri setup feels much nicer and closer to surfing when really powered up.

However, I generally ride it as a quad with Simon Anderson large quad set. I find that this gets the board up and going sooner and dont lose ground from being a bit underpowered. It does feel a bit more "tracky" - as in wants to take a line. I find you can really push against the quads to make ground upwind better that the tri where it seems to be more rail based.

The tri setup seems to feel more off the tail and rail - if that makes sense..... (the tri fins are the large North fins supplied with the board)