This is where TSS reveals one of its shortcomings. While the actual score for a maximal 6-minute effort may be only ~12 TSS (and that’s probably a big overestimation), it doesn’t really equate to the fatigue that you’re feeling.
In these cases, it’s best to use fudge factors as you’ve described so that the fatigue number (TSB) is in line with what you’re feeling.
In reality, I don’t think that TSS measures fitness at all, but it does do a decent job of estimating fatigue. I would assign a big enough number to the sprint event so that the TSB number that it creates feels about right for your level of fatigue.