With the interference of the Market to grow, ofcourse the relationship of a Cardano price move [positive] with benefit the market dominance relationship.
So far Cardano has had a 4.39% Market dominance of the Total Cap within the cryptocurrency at the all time high thus far. However, with a probability of Cardano to grow - as will its dominancy? Not necessarily. It can still equal 4.4% but contribute more to the total market cap. You need to assess the inflows of BTC, ETH, XRP, SOL etc to see the outcome of dominance.
I will leave the chart here to show the weekly growth, or decline - dependent of the coins adoption and projects to become a means of future payment methods.