The initial current is not as important as charging long enough to fully charge the battery.
The charger maintains about 14V, then the charge current the battery accepts will fall
as the battery fills up.
A healthy battery of the size in a Civic (~50AH)will accept less than 2 amps when nearly full.
Example, recently charged the battery in my Matrix:
First, I do it every 3-6 months due to infrequent use (6K miles/yr) and short trips.
Battery rest voltage 12.5V. Temp ~60F
Using an adjustable supply (I like to be in control) set to 14V, initial charge current 2A (limit of supply).
Falls to 0.75A at 5 minutes, 0.65A at 2 hours, still 0.65A at 4 hours, 0.23A at 12 hours (overnight).
So you see the current reached a plateau that lasted for several hours.
It takes time to drive out sulfation on the plates.
My last battery was still going strong after 9 years of this routine when I swapped it.
Just didn't want to try for a 10th winter.