Should I use uncoupling membrane for tile on concrete floor?
This is a subjective question that depends on individual risk tolerance. I wouldn't bother. My previous home was a similar situation, with several cracks and no expansion joints. It was obvious that the basement was perpetually dry and the cracks stable. (They probably occurred as a result of initial settling 50 years ago.)

I applied fiberglass mesh to the cracks with tile mortar and did the project. 15 years later the floor looked just fine, with no sign of movement or cracking.