I would doubt it, really. Bitcoin is running away from the competition and it is far more of a household name (even though it hasn't properly reached that point yet) than anything like Ethereum or Bitcoin Cash. Ethereum is lagging behind Bitcoin significantly compared to the ratios it used to have, and BCH will never pass its precursor. Plus with $7B in volume across exchanges in the past 24 hours, Bitcoin is dwarfing every other crypto that is trying to make headway into the marketplace. It has 56% dominance for the entire crypto economy, and the list goes on and on. There is nothing that is making Bitcoin slow down beyond the occasional bout of bad news or market correction (one which we probably need to see happen again soon).