Yes, those should include rest time. For strength training, the key pieces to modulate are repetitions, load, total volume (e.g. reps X sets X weight), rest intervals, etc. Translating that into a single “training stress score” metric is fuzzy at best. I’d suggest thinking about it through the lens of “how hard was that workout, and how long will it take me to recover from it?”
As an illustration, diving into the numbers – a 45-minute Z1 run might translate to ~45 training stress score. Arbitrary units, intended to be a way to bring together these varying types of training stress. Zone 1 is pretty low-intensity, something like 0.6 intensity for 0.75 hours x100 = 45. If you are fit enough to recover from that in less than 24 hours, and be completely ready for your next workout, you might have a “chronic training load” of ~45 or so.
If you do a 1-hour max strength workout, that’s probably going to take a couple of days to recover from. Plugging in a number of about 2x your chronic training load should be a reasonable estimate and be useful to try and help quantify your short-term fatigue.