@SamanthaJaneSmith @coreyspowell I believe some great discoveries were made ... by mistake.
The very birth of modern science from alchemy was series of mistakes... they were following some prescribed rituals, thought to be magical, but they messed up and invented stuff like eg, phosphorus. Also, mandragora was maybe ginseng and it really kind of prolongs life... but doesn't always grow on gallows hill..
So, if some next generation of science emerges, it may very well be results of mistake, done by current AI alchemy crowd. At least, the face similar problem: they spent whole lot of funding to deliver some promised miracle, sometimes even literally same, as alchemists did... and in the process, they invent and share various tricks, and even made the mistake of inventing chemistry....
So it seems to me to do something with a chance of new discovery by mistake, which can happen even by trying manned spaceflight. On the other hand, investing into basic research, which can be trusted to really not even predict anything, is kind of strange game...
Eg., from the point of view of military technology, it is absolutely safe to fund string theorists, because they are not likely to produce any terrible "string bomb" or something like that :-) You don't even risk creating another universe by mistake, or so: only lot of very nice papers and diagrams and equations are going to be published, with no dangerous real world consequences (which is not such a bad societal outcome... kind of art, maybe...)
So you can choose to do something, which is guaranteed to NOT give you any breakthrough, not even if you do it wrong (think about preserving some sacred texts in monastery) ... or you can do something, where the results can be random and poorly understood. (like eg. Podkletnov or so...)
Anyway: if something doesn't work, I don't think it is because "they are hiding it from us", but rather because not enough mistakes were made... yet :-)