I don't think that it's a good idea to do something like this because it's a fact that Bitcoin is way more volatile than gold, and the volatility could be the cause of huge gains or losses within shot period as compare to gold. The gold isn't that much volatile and that's why it many not lose or gain a lot of value in short period. This type of experiment will favor gold if the crypto market dumps, and it will only favor Bitcoin if crypto market pumps. Such type of studies will most probably favor gold as a less volatile and secure asset.
It is a study so I do not think it is a bad idea. At least if they found that holding Bitcoin is beneficial to the states, they can escalate the study to realization of the states holding Bitcoin for future gain.
The result will most probably be in favor of gold because if this study is for short period, and unfortunately Bitcoin gets another dump in coming days then the value of their holdings that are in Bitcoin will be way lower than the ones they have in gold. Let's say if they have allocated $25k for gold and $25k for Bitcoin, and if an unsudden market crash takes place, and the value of Bitcoin goes back to $27k then the value of their holdings in Bitcoin will be $22,140, and that would be very low as compare to the holdings they have in gold.
Remember Bitcoin is about to enter the Bull run in the coming months. If the bill is approved before the bull run starts, it will surely outperform the gold market. There is no need for your worries, regardless if they see that Bitcoin is not a good investment, noting is lost there since they had been on that stance since the beginning but if Bitcoin performs well, and they acknowledge that Bitcoin is beneficial for the states then Bitcoin will gain something from the experiment and that is being adopted by a state and that will possibly bring FOMO to the market.