Basair and Sydney Aviators are the same business but in different buildings, with different branding.
I am not close to them but from afar they seem solid enough, no worse than any other school. The bad reputation they had at one time was mostly due to incidents during the Indian training boom.
I suggest they have worked very hard since then to repair the damage and earn their good reputation back. I would no longer try to talk you out of using Basair/SydAviators.
For what it's worth my preferred school in the Sydney Basin is Curtis Aviation; far more "bush pilot" oriented than "airline pilot" oriented and probably better for the GA phase of your career.
Best of luck.