I spent almost 30 years as a Journeyman Tool Maker in the Steelworkers and then a non-union shop making natural gas compressors. While I knew of the existence of ground parallels, I never saw them in use. In the steelworkers shop (usually machine repair) The standard parallels were 1/8 by 1 O1 steel, un hardened. When they got beat up, you sawed off another pair. During this time I made a trio of 1-2-3 blocks, not full inch size but all ground together. I still have a pair of 1/2 by 1 by 8" O1 stock that has a few nicks on it but is still usable. The tool room in the compressor factory was primarily making jigs and fixtures for items ranging from 1 7/8" by 5/8" to cylinders 36 inches in diameter., weighing in the neighborhood of 1500 lbs.
Parallels were used, but they were work supports, not part of the precision. We had no problems with machining items. If precision was needed to tenths we used a grinder.
This is not to say that parallels are not needed, but the degree of precision they imply is often not mirrored in the machines they are used on.