As a math loving programmer who acts, I can assert with confidence that both programmers and mathematicians are downright hoarders compared to theatre people. If you are lucky enough to enter that world, be prepared to be overwhelmed.
You're probably completely correct and know more about the actual day to day than I do, but it sure seems like most of the famous ones were kinda jerks about sharing.
There's a group who's even more eager to do that, one that's been running the largest open source project on the planet from millenia: mathematicians.