I'd worry that you'd be trying to balance one problem (soup efficiency) with another problem (first turn alpha strike issues). If the latter is in place to balance out the former, it disincentivizes fixing the former.
As others have pointed out, the main advantage of souping is not cherry picking units so much as it is generating lots of CP with guard or dark eldar (who also provide Agents of Vect most of the time). I think one of the more popular CP fixes I've seen floating around might resolve this issue at the same time.
If CP is generated based on points level and then "spent" to buy detachments (batallions cost 1, patrols cost 3, vanguard cost 5, for example), then you simultaneously take away the incentive to run soup lists purely for the sake of CP batteries AND you implement a more tangible penalty for taking those allied detachments.
So for instance, I might normally start the game with 10CP at 1500 points (just as an example; let's not get hung up on specific numbers). I'd spend 1 CP to field a batallion of craftworlders. I really want some ravagers and access to Agents of Vect, but that would mean running a dark eldar detachment, but that will mean either taking a batallion (lots of points into warriors and HQs that I might not necessarily want that badly), plus it will only cost me 1CP to get them, OR I could field a spearhead to spend all my points on those raiders I want and an archon to buff them, but it will cost me 5 CP.
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