This really comes down to the branding of the company. It's super subjective. Line aims it's advertising at a crowd with different demographics (age, money, gender, race) and psychographics (interests, hobbies, values) than say Dynastar or Salomon. Different companies have greater influence on different people. So this question will be different for everyone.
In my lifetime Salomon, Dynastar and Armada have been the most influential for me, I'm probably a little older than most of you guys though. Salomon had the first twins ever made and Dynastar was not far behind. Candide Thovex was like my idol back in the day and I had his pro models from Dynastar. Armada has definitely brought our sport to new heights along with Line, both are branded extremely well most likely due to the fact that they were 2 of the first big companies run by freeskiers. I think without Armada and Line specifically the way we see our sport would seem a lot different than it is today.