How to fix the Sputtering faucets in bathroom with air locked in pipes
Movement in the hot water supply line below the sink may be touching the shutoff valve thus creating a resonant effect. Try partially closing the hot water shutoff valve to determine if it's modified angle stops the sputtering.
If this stops the sputtering, dampen movement in the hot water supply line or block anything that could touch the shutoff valve when it's completely open.