ratio between glass thickness/ tank size to achieve minimalist mastic
In theory there probably is, since the tech data sheet provides data in strengt propperty of the silicone, likely in Newton / mm and elasticity in % etc.
One could calculate the minimum amount required, since we know the water volume and pressure working on it. But this is a rather extensive calculation only required for rather large projects.
For any standard sized household aqaurium the glass thicknes versus volume only is calculated in this safety factor the silicone strenght will always exceed the glass strenght and there for is neglectable. Depending on the manufacturer even in filling gaps up to 10mm the silicone is stronger than the glass it holds together.
Since the safety factor is in the glass thickness the silicone glass to glass connection gives sufficient structural strenght to hold the tank together under pressure. the corner seam is purely an extra seal to prevent leakes on the long run and has no structural strenght purpose. You can often see this in standard sized factury made aqauriums using pressurized automated silicone guns applying a calculated amount, they don't even bother to smooth out and flatten the inside corner seam in the tank. It's just a small rounded bulge of silicone pressed out during asessambly and left to dry. Only when it comes to very large tanks, than a lot more attention is given to this detail. But anything standard in stock over 100cm i don't believe excist, for bigger you need to do a custom order.
Thus you can make it as minimalistic as you like..
The thing is and that is tricky with silicone.. Working minimalistic requires perfection in cleanliness.
The glass needs to be 100% clean, for example making a 1mm seam than a 0,5 mm dirty spot will damage 50% of the seams integrity.
For a new build with new glass this is not that much of an issue.. But when it comes to resealing, you need to cut out old silicone.. And that is a pain in the neck, removing silicone and leave a perfect spotless clean surface behind after that is extrmely difficult. Glass can look clean to the eye, but once new silicone is applied you see the small inconsistencies pop up in contrast like sour thumbs.
The task resealing isn't difficult, as the video shows it's a straight foreward childs job.. But doing it perfectly clean on old glass is.
If minimalistic easthetics is the goal i personaly would reconsider a new build with new unused glass.