When I got my Ed30 it was already Revo'd and felt super punchy. Had an R-tech style custom map done (with linear throttle) and it's nowhere near as thumpy, but makes more power on the dyno. Like the OP, I'd rather have the punch.
I am defo getting the linear throttle map removed as it's horrible. I really don't get the hype around that at all.
The thing with K03 & K04s is they do spool up bloody quick. It depends how aggressively the mappers set the N75 valve control. Make it slack and the turbo spikes like mad and over-boost failsafes kick in (huge flat spot), have too tight a control on it and feels too linear and boring.... it's a tricky balance to get right.
Don't forget the ST has a 500cc advantage over the TFSI when making a comparison. A lot of extra exhaust gas to spin the turbo with.