The reason why I would not have the Capital hit first is it’s A) too bold a move for the First Order still licking it wounds from the end of the Empire B) a Resistance base in First Order territory would arguably be a legitimate target as they are being attacked by them.
After Leia takes command of those loyal to her in the Republic old guard (Ackbar etc) and attacks the weapon having it destroy the capital also makes it seem legitimate self defence on the First Order’s part. Remember evil is rarely self aware. Most evil people think they are doing the right thing.
What we would be left with would be the same but by a more plausible route with Leia having more to do (a bit like Kirk in Search for Spock but on a bigger scale than pinching one ship and it’s bridge crew.
Still think she is Snoke btw which would explain why they have marginalised her role.