I’m a proponent of letting the sets, reps, tempo, time under tension, etc.. determine the load so I understand where you’re coming from. I do like to use the percentages found in Poliquin’s optimal maximal ratios to determine starting points for a new cycle with different exercises.
I would expect an athlete to put forth an honest effort and try to lift as much as they can on that day. I’m not sure I would ask them to do that again 3 days later. When I reduced the frequency in my own training, the first thing I noticed was every day was a good day in the gym. The “see what I could” get mentality was gone. It also made it easier to not only gauge, but predict what was to come and that was progress.