One doesn't have to lead all lessons. Linux can be taught by Linux admins. Setting up personal workstations with Vagrant, etc can be taught by desktop team. HTML/CSS can be led by FrontEnd dev.
Also, these training courses are great, but ultimately it costs $ to the company.
These study groups were something I enjoyed and was dedicated to; they wound up being a nice perk for my colleagues -- good for morale and good for hiring. So while there was a cost, good value was generated in exchange and there was solid consensus around our team that the study groups were more than worthwhile.
To reproduce this success, though, you shouldn't ordinarily look to someone in a line engineering role. Organizing these sessions is more of a management or onboarding and training task.
I think "ultimately" is an interesting choice of word here, because spending the money is actually more of a beginning than an end (which is why people do it).
You're increasing individual engagement, generating social capital within your team, and creating opportunities to benefit from untapped creativity... all of which are valuable, potentially extremely valuable.
Also, these training courses are great, but ultimately it costs $ to the company.