FTM here as well. From what I know/researched, government hospital under subsidised route means every time the gynae u see is different. They might do lesser scans & the follow-up duration is longer. The nurse at my private gynae said that government hospital sometimes just listen to heartbeat without doing ultrasound.
Based on my experience & other mum friends suggestion, they all prefer a private because of the comfort & convenience, & most importantly seeing the same trusted gynae everytime.