Let's again return to some facts and compare the "dominance" evolution of the last month, according to
https://coinmarketcap.com/charts/.
- On
May 20, Bitcoin's dominance was about 37,5%
- Ethereum's dominance, the same day, was about 18,5%
- On
June 20 (today), Bitcoin's dominance is about 40%
- Ethereum, in contrast, still is about 18,5%
So at least in the last month, we've seen a recovery of Bitcoin, but stagnation in Ethereum.
- In a 2-month window, in contrast, Bitcoin was stagnating (39 to 40%) and Ethereum got up from 15,5 to 18,5%.
- In a 3-month comparison, the picture is even more favourable to ETH (16,7 to 18,5 while Bitcoin fell from 44 to 40%)
- but in a 4-month comparison it's the other way around: ETH stagnated on 18,5%, while Bitcoin rose from 36 to 40%.
So, overall, we see that there is very small variation regarding dominance between both coins. Both seem to have found a "stability point" for now, regarding market cap. For the future, I don't see big changes.