If you want to be able to set Lineweight for block from Properties palette (as you do in your drawing- you set it to 0.05), you need to edit block definitions in Block Editor (double-click on block to open it in Block editor) and set Lineweight for all objects inside block to "ByBlock":
Here are some useful links about editing blocks:
I also attached your drawing in which I already modified some of the blocks and set Lineweight property for the objects inside these blocks to "ByBlock".