A lime softener will definitely drive the pH of your water high. The lime bed used in that scheme will sometimes "carry over" into the outlet flow and you will almost always have a small amount of lime in the water. To a fishkeeper, it means you will probably have a high KH with a somewhat lower GH. Very little that you can do with chemicals will make any difference. If you need to lower your pH it will probably be necessary to use RO or similar water to dilute the water to manageable KH levels. A lime softener is an older technology, that does work for softening water, that my company used 30 years ago to soften water but later decided to replace with a partial RO process where they mix RO back in with well water to get the desired hardness. That type of softener is still used by many smaller water companies where the cost of an RO type system can't be justified.