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I don't think you need to update every time, but it might make sense if you're going to app for a second card with same lender. I recently received 4506 form from Citi on a new app since I used $10k more in income on the new app. I wasn't anywhere near max exposure with them, especially since I had actually closed other cards with them a few months before, and given the amount of the open credit and the differences in income on my account profile and the app, the only thing that could have occurred is the new income amount was flagged automatically.
I would round that to $38k without worrying on it further.