editing of previous post interrupted by back up......
If the bottom panel is not thicker than the sides, then yes, it is pretty much obligatory.
You are correct on the tensile vs. shear. However, with sides around bottom, according to Newton's Laws of Motion, the shear at the seam (downward force of water, ambient pressure, acceleration due to gravity, etc.) is negated by the equal and opposing upward force applied to the bottom panel, by the stand.
Actually though, technically, that is not accurate. The bottom panel will deflect down, the stand will deflect down, the floor will deflect down, so forth until the upward force is equal to the downward force. But it is close enough.
The force pushing the front, back, and side panels away from the bottom panel, (and each other) has no significant opposing force, (ambient air pressure is all,) so a very wide seam around the bottom is needed to hold the tank together. Why? The force (pressure) is greatest at the bottom, and the tensile strength of silicone is not what holds the tank together. It is the adhesive strength, that holds the tank together, and that is the weakest property of silicone. The adhesive bond between the silicone and glass, raises the magnitude of force required to overcome inertia. (tendency of an object to remain motionless.) The wider the seam, the "stronger" the seam is.
That is for the seams. The further you get from the seams, the lower the magnitude of force required to get the panel moving. This brings us to glass thickness and safety factor.......