On an upcoming vacation trip, I come from Jaipur on an evening Shatabdi train and have 1 night and 1 full day before flying out of DEL past midnight the next evening.

Since the train stops at Gurgaon station, I'm thinking it would be less hassle to get off the train at Gurgaon, take a taxi to the Westin, stay there for the night and relax by the pool until taking a taxi to DEL the following evening.

Would this be feasible ? And would it in reality be easier than continuing on the train to New Delhi station and stay at the ITC or LeMeridien ?