Well since boruto won't have a dojutsu like the jougan. He Will be a human frost demon hybrid.

He will have his own transformations and, how he could become more powerful through frostbites form of training and, how it effects him.

Also I'm having naruko be a good mother along with frostbite being a good father

As for how it affects the boruto story it has some changes and how I haven't seen the anime but I know boruto but I'll do my own boruto story.

Here are boruto's Forms and, the reason he has them is cause he was lucky to get the ancient forms.

Base form

1st Form/Ancient 1st form  (locked) 

Ancient 2nd Form (locked) 

Ancient 3rd form (locked) 

Ancient 3rd Form 100% (locked) 

Ancient 4th form (locked)

Ancient Golden form. (locked) 

True final form

Powers and Abilities.

Immeasurable Condition

Unlimited ki

Ki Suppression

Air Manipulation

Oxygen Manipulation  

Destructive Ki Attacks 

Ki Sensing 

Ki Manipulation 

Highly Heated Pressurized Blood Attacks 

Flight 

Chakra

Ki 

Water release 

Weakness; Still vulnerable to forms of attack 

Techniques.

Summoning Jutsu

Ligera Beam: a pure white beam of energy,that fires similar to the death beam with some differences being the speed it does but with the drawback of being weaker then,the death beam

Blue supernova: this version relates, to water release as boruto combines both water release and, his father's supernova together to create a powerful yet dense and destructive technique.

His summon.

Name: Baku

Powers and Abilities.

Superhuman Condition

Wind Release 

Can inhale anything by creating a powerful suction