Considering there is about 30 district court internships available for every single CoA internship*, yes it makes a difference.
The experience you get as a 1L is probably not very valuable in either case, but main reason for working 1L summer is to impress employers on OCI for 2L, where it starts getting srs business.
*Number just taken from what our career services office told us. They are epic *&^%, so I put very little faith in this number being accurate, but the fact that there are tons more DCs than CoAs makes sense.