2020-2022
It took a lot of time to recover from MtGox.
It took about 4 years to recover from gox.
The peak was at 2017.8 so about 2018
So if we follow the same road 2018+4 2022.
The reason why it may happen faster is because this halving is going to be more significant.
It takes us from inflation that about matches the dollar to inflation that is lower than that. So bitcoin is truly starting to become scarce.
I have some gripes with your post.
First of all, as you say, it took a lot of time to recover from MtGox. There is no event like MtGox this time, so why would you say it would take as long? If anything that shows it will take less time.
Also it took three years to hit $1000 again. Peak in 2013 was early December, Jan 1 2017 it hit $1000 again, I think it took until beginning of March to actually beat the previous ATH so at most you could say 3 years and 3 months. And since there was no MtGox to recover from this time it's more likely it'll take around 2 years instead of 3 years this time. Another reason why it will take less time this time around is there is soooooo much more interest in Bitcoin now from sectors of the economy who had never even heard of it in 2017 and are still trying to figure out the right time to get in (note: it's now!).
So 2 years is a better estimate based on all the known factors, rather than 4 years. Basically late 2019 or early 2020 leading into the halving year we should expect it to pass $20k and then the hype and FOMO machine will start all over again but this time Wall St will be piling in both retail and institutional investors.
Last bull market went up 100x from $200 to $20k, I could see the next one over the next 2+ years going up 20x from the $6k bottom to $120k possibly. And $20k will just be a stepping stone sometime in the next 12-18 months.