for all
govt hospitals, citizens receive the co-funding / government grant. PR and foreigners don't have it. everyone is equal in private hospitals.
my dr is Tan Heng Hao of KKH, I'm under private and now pay fully by cash. my last fresh cycle is $15k with expensive meds. for your first cycle, it is more likely $12k. frozen cycle is around $5k.
my guess is the dr you saw was providing you options if you want cheaper cost. just like my suggestion to go JB. LOL. cause you don't gain anything by going to government hospitals in SG and it takes time.
So, suggest you do some research on the 3 drs suggested by Alishablond above and also private drs. Ronald Cheng, SF Loh are reputable.
Check out this forum for more info:
https://singaporemotherhood.com/forum/threads/ivf-icsi-support-group.2902/page-4963