I did exactly the same thing yesterday. The bath is steel, so no need to fill with water anyway, it will not flex.
I removed the old sealant from around the top of the bath, and the soap dish built into the wall. A long tedious job to get the old sealant out. But in my opinion it is worth it, so that any traces of mould will not come through the new sealant. After I had removed most of it, I scrubbed around where it had been with diluted bleach using an old toothbrush, then rinsed, and left to dry thoroughly before resealing. Hoping it will now last for another 40 years!
It is important to get the right sealant, not all of them are suitable for showers, even if they are for baths.