Being too lazy, and shooting most objects over > 10 nights, I report all data with the data of the last capture. I don’t think most people care when the captures occurred any way. As for mosaics, when looking at others images I kind of mentally divide the integration time by the number of panes to get an idea of how much data is in each pane.
The amount of integration time in total is a squishy concept anyway. For example, I might use Ha for luminance and blend the SII in with Ha for Red and subtract some SII from the OIII in Blue. How much time is in any given pixel would be difficult to calculate. Similarly with LRGB, luminance may be 1/4 of the capture time or more than 1/2. The depth of the image will be very different but the total time that same in the two scenarios.