There is no problem using the shortest route available to you for becoming a citizen. The advantage of getting your green card through DV vs k1 is you get permanent residence as soon as you land and you don’t have to remove conditions.Thank you so much. I had both processes active and got the GC through DV lottery. We were worried whether this will reflect as an obvious intent to get the citizenship in a shorter period and wanted to know how to proceed without problems. Your answer helped us immensely.