Tour de France Tour de France 2023, stage 16: Passy - Combloux, 22.4k (ITT)

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I'm really curious about the bike calculations. Riders who stay on their TT bikes will benefit from decreased wind resistance even on the hill, but riders who change to their road bike will benefit from a lighter weight bike. Which saves more time?
Its the time required to change the bike vs the lighter bike in term of power to weight ratio. For Cavagna time of 34.7 mins and assuming the same bike throughout, i get 417 watts with 6.8 kg bike and then taking 9 kg bike gives a gap of +25 s. The actual gap will be much less since it is only part of the way and the bike change has to be within that. So i think considering complications not worth it and not many will do it.