I've been doing some thinking, and I've come to the conclusion that the problem with calling it "tech points" isn't with the "tech" part, but with the "points" part. Points is terminology that may imply that they can be used actively in one way or another, while this system takes a more passive approach, drawing from the "tech points" as a consequence of what you're doing elsewhere. Moreover, "points" implies that a unit is of some use, as in practice points are often spent one at a time.
It's hard to find a name for the entire thing. There is no perfect word to describe a concept like this. It's not a fuel, because it's not consumed. It's not a capacity, because it can be spent. It's not a supply, because it's finite. It's a resource that's distributed and then kept in place. For such a thing, the word "charge" may be a good fit; power is consumed, but charge to a powered item remains. A similar word that comes to mind is "budget", but I don't think it fits quite as nicely.
"Tech Charge" doesn't quite sound right, though. While it is used to power tech, it's the chambers themselves that hold the power. Therefore, I propose to call it the "Chamber Charge".
I've taken a look at the other new names for mechanics as well, seeing as Chamber is a word I don't readily associate with the proposed concept.
For starters, the word invokes a concept of hollowness, which doesn't seem to be the case. Instead it's more of a unit that lends an effect to the ship or station. It could be a sort of machine, but with the abstract nature of the feature's description, I think we should keep the name suitably abstract as well. "Tech Unit" (or perhaps "Tech Module") will do fine, in my opinion.
However, this does require a new look at the name "Chamber Charge", since it's not called a chamber anymore. I'm not sure "Unit Charge" is a good name either; "charge" is a more specific term than "unit" is. However, I think if chambers have the word "tech" in their name, the word "Tech Charge" is a better fit than it previously was. It gives two related terms a common word, and with the now renamed chambers, it's better implied that the chambers themselves are the tech.
We could also call it "Module Charge" if we call the chambers "Tech Modules" (in a similar vein to existing weapons modules and effect modules), but we can't simply call tech points "Module Charge", since it only applies to Tech Modules. We'll either end up with the more unwieldy name "Tech Module Charge" or simply "Tech Charge".
TL;DR
Call it "Chamber Charge" if we stick with the name for chambers.
However, I think it's better to call chambers, "Tech Units" or "Tech Modules" and tech points, "Tech Charge" or perhaps "Tech Module Charge"
