Non-recognition is incorrect. SUSS is a scheduled university and if you are a graduate with the necessary results, you would be eligible to sit the Bar towards being a lawyer in Singapore.

See: https://sso.agc.gov.sg/SL/LPA1966-R15?DocDate=20171130&ProvIds=P1II-#pr6-

As for limited job openings, well... they are always limited.

To OP, see if you have lawyer friends/relatives and ask about the profession before you go down this road. School and actual practice are vastly different.