Your analysis is logical, as the price has overcome the 200-day simple moving average at less than $20,000, but we still need to break the 200-week simple moving average, which represents $24,500, to confirm the bullish level, which is something that is happening so far.
There are indicators that support this trend, such as keeping the price lower than realized price for a long period, longer than the previous sessions.
Bitcoin will have another mini bull run before a big bull run and I think it will be a similar mini bull run like 2019 mini bull run. Very possible Bitcoin will try to reclaim $30,000 with this run before any correction to pull it back to likely $20,000.
All that the data confirms is that we have reached the bottom, or that we are very close to it, and when prices reach breakeven levels, the possibility of the golden cross is diminishing.
The $15,000 and $16,000 look like a bottom range but I don't forget what happened in 2020 March when Bitcoin had a last serious bottom test before it starts a big bull run. Maybe in later months 2023 or early 2024, Bitcoin will have another serious bottom test like that.
I think it is good to hold Bitcoin and wait for $30,000 but if anybody has more capital source in coming months, they can wait to buy Bitcoin at price around $20,000 that is good for dollar cost averaging for 2024 halving and a consequent big bull run.