Why not just one or two place grid penalties per element change over the limit, with the extra condition that the team must complete qualifying as normal, otherwise they automatically start from the pit lane.
The added penalty for PU element changes, is that the car must also start the race on the compound they set their final grid position in.
This ensures 1) grid penalties aren't utterly ridiculous and are capped to less than the actual grid size, 2) qualifying still occurs in its entirety, 3) the extra 'penalty' of less Sunday flexibility on strategy.
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