Eve was definitely around longer. I started watching in April 1982 and she was still there. She was even around in June 1983 during Nola and Quint’s engagement party. I recall a scene with her and Phillip. The character vanished around that time.
The comparison of GL to Another Life doesn’t make sense. AL premiered in 1981 and had opening credits similar to OLTL and what SFT had. Makes me wonder if GL has another opening planned but it was scrapped.