A monolithic aggregation of BTC capital in one place won't require the SSTT to be an unresponsive or wasteful bureaucratic entity, interested only in its own survival at the expense of its mission. We often associate ineffective institutions with massive pots of capital because that is they way things have been until now - Bitcoin lets us break that link.

I'd say you want as much money as possible held by the SSTT so it is taken extremely seriously from the get-go. We need scientists and technologists who volunteer their skills to be confident a non-state actor is capable of funding incredible, world-changing research. What better way than keeping the equivalent of hundreds of millions to billions of USD on deposit? Ofc, it will be helpful to employ a few frugal accountants to oversee the funds and there is always blockchain.info which will let us watch how they are spent