@TerrificTerri
So again, you can still bring those into your Gallery in the Items property...they would be there then.
Otherwise, consider changing your update OnSelect to use the same lookup associated with the text input rather than the text input control itself.
So in other words (or formulas) - Collect(AllResponses, {'Assistant1 Response': theLookupFormulaYouHaveOntxtAssistant1Response, ....
Personally, I like getting them at the time of Gallery load, only because then there is only 1 formula for the lookup to be maintained.
Gallery Items: AddColumns(yourOriginalItemsDataSource, "Assistant1Response", theLookupFormulaYouHaveOntxtAssistant1Reponse, "Assistant2Reponse", the LookupFormulaYoHaveOntxtAssistant2Reponse, ....
Then, your text input for Assistant1 Reponse would be Galleryx.Selected.Assistant1Response, and so on.
Your OnSelect on the button would be Collect(AllReponses, {'Assistant1 Reponse':ThisItem.Assistant1Response, ...
This could (theoretically) marginally slow down the initial Gallery load (although I have yet to see any impact from it). But it sure is nice to have good data "in hand" rather than going back to get it and dealing with the delay.