Indeed, Oscilloscope digital Low-pass filter, this saves the day but causes delay. 
This period of time I have started a new series of tests, of Low current and ACA measurements at 50~400Hz.
By connecting TA189 probe at my GDS-2102A, I did notice that AC current measurement this was full of noise.
This time I am not using any current coil amplifier, as boost of current measurement.
This time I have to deal with Oscilloscope Noise floor along of AC/DC probe noise floor.
The only way making my current probe to function properly with my oscilloscope, this was by activating it digital Low-pass filter.
Acquisition Setup -> FILTER
Now I have ACA measuring range since
10mA up to 30A.

But I did sensed, that there is some time lag, when measured current this changes from a known value to another known value.
For example, from 55mA the load changes at 80mA = instant change, but from the side of the oscilloscope, the delivered measurement this becomes accurate after of three seconds of time.
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I did searched for relative documentation, and I did find an quick description from the side of
Rohde&Schwarz Lowpass filters reduce the speed of the signal inside the instrument and cause a delay of the signal on the screen.Rohde&Schwarz even compiled at table, this delivering
ms delay VS selected low-pass filter frequency.Examples:
1 kHz / 4.347 ms
2 kHz / 2.173 ms 5 kHz / 869.3 μs
10 kHz / 434.7 μs What is very interesting, this is the observation, that at multiples of 2 ( 2, 4, 6, 8, 10) the digital filter causes a smaller delay at the oscilloscope electronics.

My Oscilloscope this is (
GW Instek) GDS-2102A, I am unaware of this digital filter, actual caused delay per Low-Pass filter setting.
But electronics theory of operation, this is not much different between oscilloscope vendors.
For more than ten years, I were involved at product reviews, and never thought as feature for be bench-marked, the speed of digital Low-pass filter, between reputable vendors as is
Tektronix VS
Rohde & Schwarz VS
GW Instek.