No I don’t think Ethereum will ever catch up with Bitcoin if what you mean is be a higher $ price or surpass adoption. Bitcoin is the King of crypto & always will be, it’s better in every way. It has a much lower supply with a fixed cap of 21 million, compared to Ethereum where the supply is almost endless. Bitcoin is proof of work compared with proof of stake with Eth. Transaction/Gas are much higher with Ethereum. I don’t see Eth catching up with Bitcoin in any way.
I don't even know the type of hype that Ethereum will get that it will surpass Bitcoin's price one day. No matter how people may adopt Ethereum, I don't ever think its price will surpass Bitcoin's, because the more people adopt Ethereum, the more people will continue adopting Bitcoin. The current price gap between Bitcoin and Ethereum is very wide. In fact, from my experience in the crypto industry, it is clear to me that Bitcoin is the king coin that controls the price of all other alternative coins. Bitcoin's bullish trend is the pattern all strong alternative coins always follow. So, I think people may even adopt Ethereum more than they will keep adopting Bitcoin.