No.
There are three components to an ECM suite. Sensor Jammer, FC Jammer and Missile Jammer.
They all affect different things. There is no overlap.
Sensor Jammers and ONLY Sensor Jammers affect RADAR. FC Jammers and ONLY FC Jammers affect FCs. Missile Jammers and ONLY Missile Jammers affect missiles.
So when you put ECCM on a RADAR, it ONLY counters Sensor Jammers... because ONLY Sensor Jammers affect RADAR. The other two Jammers don't.
When you put ECCM on a Fire Control, it ONLY counters FC Jammers... because ONLY FC Jammers affect Fire Controls. The other two don't.
When you spend extra mass to equip a missile with ECCM, it ONLY counters Missile Jammers... because only Missile Jammers affect missiles.
... so your ECCM is automatically of the appropriate type. Because only one type of ECM (out of the three) ever affects each piece of equipment.