Q.Adding Line To Hard Soil
Is it a good idea to add lime to neural ph soil that is hard, to help break up after hand tilling?

Certified GKH Gardening Expert
No. This will worsen the muddiness and caking without amending with some texture.
Adding things like coco coir, worm casting, peat moss, perlite, or vermiculite will help to give it better texture.
Here are some articles that will help:
https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/how-to-improve-clay-soil.htm
https://www.gardeningknowhow.com/special/organic/how-to-easily-improve-your-clay-soil.htm