This is true. However, the depth is not what matters. On the original tuttle drawing, there is no specification of depth. It shows a height of 5 inches, which no box or foil or fin features.
What matters is the 80 deg angle and radius profile of the front and back rounded tapers. Also, the thickness and parallel walls.
You can fit any DT foil or fin into any "foil box" as long as it is not too tall, and it will fit tight and intimate to the tapers. My Stingray 140 and Exocet FF132, both have the exact same tapers (80 deg angles and radius profiles) as on the tuttle design. Where they vary is the inside taper length and roof height and angle.
The IQfoil setup guide is a good example of matching the brand of foil to brand of board. They design them to match everything inside the box, tapers and roof and everything. That's fine when you match brands. If I mount a Fanatic foil into the Stingray or a Exocet foil into the FF132, they will go all the way in to the roof. Brand matching.
But if you are matching non-flanged brand-x foil and brand-y DT box (this was all we had until a couple years ago), all you can rely on are the standard design tapers. If you ensure the tight fit, you will be fine. The only way to ensure a tight fit is to leave room inside between top and roof. Point loading those tapers with roof contact or shims is a path to failure. Unless you match brands.
Since day one (2016) with AFS no-flange foils and all the various DT boxes out there (formula and big slalom boards), Sailworks has coached "insert, wrench forward, tighten screws, wrench back, tighten screws, wrench forward, tighten..." for 3 or 4 cycles until the screws do not tighten anymore. Once you have done this, the tapers are tightly fit, and the foil will not move. The tapers will carry the fore and aft loads, and things will be fine. Watch the Sailworks team mounting non-flanged SAB foils into Roberts or Pacific foil boards. This wrenching-tightening cycle is exactly what they do.