Yes, there’s definitely some fatigue carried over from strength training workouts. For that reason, during strength blocks, you may carry more fatigue in your legs than what your TSB says you should be feeling. Trying to account for that fatigue by feeding the PMC is generally an exercise in futility, though. In the case you use HR to calculate TSS, the TSS still won’t match the fatigue you feel in your legs, and will slightly artificially inflate your CTL. In the case you manually enter high TSS values from lifting to try to make TSB feel accurate, you’ll artificially inflate CTL even more, and in exchange for temporarily making your TSB feel “right,” you’ll have a PMC that’s not accurate long-term.
I’m sure you’ve heard the phrase “All models are wrong, but some are useful.” The PMC is a great tool but it’s just not designed to account for every single type of stress you can put your body under.