They can write almost "anything" in an ad for a specific fin
But size IS the most important factor, as the hydrodynamic features of fins this size is almost zero.
They are used as directional stabilizers only, and nothing but that.
You can easily ride your board without fins at all - it would perform the very same.
But be a bitch to control usually
A fin with such a low height and wide chord, will never be able to produce much lift, almost zero, because of the extreme vortex so no pressure difference can occur.
Thus "directional stabilizer".
Thin fins will most likely have less drag of course, when going straight, as will sharp ended fins.
But they will also be much more prone to getting cuts when you hit the sand bar or rocks, and way more dangerous for yourself as you can get cut really bad
And thicker more round fins, will most likely have less drag when you slide the board in a tight carve or with pressure on the fin.
But there is IMO no performance issues at all regarding TT fins, it is all about feel and handling, meaning small fins = loose board, and big fins = stiffer board feel in the water.
With directionals it is way more complex, as here the profile, flex, outline means a lot, as the fins are the "power" point and turning point - whereas a TT only uses the fins as stabilizers.
Of course many brands want to make a huge science out of THEIR particular TT fins used, but mostly just PR as I see it
Plastic fins works great, but can break easier of course
Then we are back to size being the most important factor - and changing fin size up or down on your TT will sometimes make the board change dramatically, so worth a go if you havent done that
Peter