I am not sure about ETH bottom since it was less than $10 at the beginning of 2017 while BTC was around $1000.
If BTC actually reaches $1000, then it will take a long time to recover because we are talking about a 95% loss from ATH. Most venture capitalists who poured huge money into crypto in 2017 will be wiped out and out of the game. There will be little growth and investments and many won't buy BTC in the future because "What if it crashes 95% again".
Same with ETH, I don't see it hitting $10 ever again but I also don't believe $100 could be the bottom, maybe around $75 or so.
I have the same opinion with you. And I believe BTC will not return 1000 for a number of reasons:
1) Investment funds who are holding many MOFs will not let the MOF decrease so deeply
2) Lower prices will attract more investors to buy and will push up the price of BTC.
So with ETH there will also be certain support levels. I personally think the maximum support for ETH will be $ 65.
But if ETH developers limit ETH supply like BTC or LTC, then ETH prices will increase again