but the scuffles were not direct confrontations between the armed forces of the superpowers (the nukes held them back, they were afraid of a possible escalation); the wars were always in far-off places between proxies (or that the other side was a proxy)
I don't consider proxy wars to be "better wars", I'd consider them even worse than conventional warfare because it's people, sometimes whole nations, dying for somebodies else cause.
> Country A does not fight random country B for no reason.
No, they usually don't. But countries, nations, and people often have very long lasting disagreements. Instrumentalizing those, for another "bigger" cause isn't really that hard of a task for the far more influential and powerful countries C and D.
C and D end up supplying A and B with money, weapons, training and sometimes even direct manpower.
The result is usually a conflict that escalates much more quickly in scope and severity than it would have without the involvement of C and D.