As a leader we could start by making the currency a positive thing?
Maybe. I personally feel it lacks sufficient grounding in reality and is prone to bias. How do you value work in a virtual currency that has no external tether outside of the company?
I get my tea from the main canteen on the other side of the campus
It seems like we're in different geos which may be a factor. I can tell you in US corporate IT organizations where I have worked, there's very little cross-mingling. Leaders may be sent on visits to other orgs that are often planned/staged rather than spontaneous. I'm glad you take an interest. Good leaders often do. In my personal experience, that behavior is atypical. Myself I have never had to more than 1 layer between me and individual contributors and prefer it that way. When I do speak to middle managers, their goals are to avoid causing waves while finding their niche, mostly by ingratiating themselves to some person two levels up and gain enough aforementioned "currency" to advance to the next level. They produce headlines and nothing much of measurable and durable value. A few companies have elaborate internal accounting and review org P/L that way. IBM did in the 90's (not sure if now). AMZN may have some kind of internal recharge model from what I've heard. Most companies just have "budgets" though the allocations rarely have any bearing on any actual or perceived fiscal benefit.
Disclaimer: This is an N=1 opinion. Feel free to take it with as much salt as you like.