Hey Dachopper,
Top speed is more dependent on the foil more than the kite. The fastest speed run on the compass is usually around 130 degrees off the wind. Power from the kite doesn't determine maximum speed unless you are under powered. A tube kite will deliver more power than you can use as can a foil kite.
The difference foil kites make is when you are running in less than ideal vectors, ie going deep downwind or "pinching" upwind. The foil kite will generate more power and at higher angles into the wind than any tube kite when pinching, but upwind is never going to give you maximum speed. The foil kite will also go much deeper downwind with much better power and efficiency than a tube kite due to their lighter weight and more aerodynamic profile which gives less drag allowing you to go faster.
I use mostly foil kites and only ever change to a tube kite if wave riding or I'm too overpowered on a foil kite. The other difference between foil kites and tube kites, is due to their efficiency and lack of drag, they don't de-power nearly as much as a tube kite. This could be one reason why people trying foil kites initially feel that they are faster, because it is very difficult to slow down when you can't shut off the power on a foil kite.
Without a doubt, foil kites are better on most points of the compass but in the fastest angle, either kite will more than do the job. Looking at the Namibia Luderitz speed challenge, almost no one uses a foil kite because enough power is never the problem, it's the board or in this topics case, the foil under the board.
A fully de-powered foil kite can be unstable in strong gusty winds when high in the wind window, inversions can happen.
The issue you describe is also probably more to do with the max speed of the foil and your riding position. As most foils go faster, they generate more lift, which in turn requires more front foot pressure to keep the lift in check. You need to keep weight out over the edge of the board, but not back, it is an awkward riding position to go really fast, hips thrust forward, front knee bent and back leg straight. (See pic below)
Having said all that, if you are under-powered, yes, a foil kite will be more efficient and more powerful than a tube kite. My best speeds are usually around 2.5 times wind speed, I'm guessing that's the limit of kite efficiency and this is usually when I am comfortably powered and not over powered. I ride the 2018 North Ace's and Moses 2018 Comet board and foil.
Hope this helps.
DM