In aggregate, over time, with all else like sleep, fuel, environment, and life stress being equal, yes. (I was all excited about my HR dropping like a stone in December/January/February, only to watch it come right back up as the temperature increased in May, heh.)
On a TR plan, the FTP test is the quantifiable value that measures progress over time (and Amber’s caveats about progress not being linear apply). You can throw in whatever other benchmarks you feel like might work, maybe an outdoor segment or a Zwift route or something, if you’re trying to track progress in some other area than threshold work.
In general, it’s going to be very hard to observe statistically significant gains on a weekly basis. This stuff takes time.