You seem to be missing the fact that disc brakes do not use return springs Atl east not in my experience, which is much less than that of
@bugsymike who may like to comment.
As
@Communicator and others are mentioning, disc brakes do not rely on return springs.
As long as the pistons are not sticking in the calipers then the action of the pressure seals after release of the brake pedal will fractionally pull back the piston, enough for the wheels to turn with a gentle push of the hand and for you to feel the brake pads slightly "kissing" the discs.
If careful it is possible to observe this action with pads out and someone very
gently pushing brake pedal.
This is why they are self adjusting and respond quickly on pressing the brake pedal.
The pads must be free in the caliper, but not excessively so and the "anti rattle " kit does what it says.
Often there are steel shims between the piston and brake pad, these tend to be referred to as anti squeal shims.
So if all that is fitted correctly and a small application of suitable brake grease applied correctly there should be no problems.
One other point is where a single piston sliding caliper arrangement is used, then the sliders must be able to work freely and with no undue wear/rattle.
On rear brake discs with handbrake operating on the disc, two other points need to be checked.
One is the cables not over adjusted or sticking causing issues.
The other is the self adjusting mechanism must be in good order inside the caliper. This mechanism is basically a thread and ratchet that is internal to handbrake calipers and not a service item. If it fails then a replacement caliper is the safest option.
If fitting brake pads to handbrake calipers, older vehicles use a suitable "windback" tool and modern electrical type handbrakes have to be "pulled back" using diagnostic software.
Generally speaking if the wheel is off the ground and the handbrake arm on caliper is checked with handbrake off, the arm should be against it's stop and the wheel able to turn easily, I then push that arm with my finger and the brake should come on and then off on release of pressure. This should also happen with foot and handbrake operation and again check after road test, plus a quick thermal check with your hand on all four wheels should show no noticeably warmer than the others.