One thing I noted is that these stable phases seem to happen especially often near or slightly below half the price of the previous ATH. However, if you look at the context, that's not always a good short-term sign.
Mid-2011: ATH ~$30, (relatively short) stable phase $14. (But afterwards, a crash to $2).
Second half of 2012: long stable phase around $15. (Afterwards: buildup to bullrun up to $260)
Mid-2013: first ATH ~$260, then a relatively stable phase ~$120-130. (Afterwards, a bullrun up to $1200)
End of 2015/early 2016: last ATH was ~$1200, long stable phase at $380-450. (Afterwards, a slow buildup to the rally of 2017)
and of course April to July 2020 at $9000-10000 (ATH before: ~$19500)
There are some significant "outliers", however:
First half of 2012: long stable phase at $5-6, at approximately 1/5 of the $30 ATH. (afterwards: slow buildup)
Mid-2015: long stable phase between $230-300, at approximately 1/5 of the $1200 ATH. (afterwards: slow buildup)
Mid-to-end 2018: long stable phase on $6000 (afterwards: crash to $3000).
Beginning of 2017: stable phase at ~$1500, slightly above the previous ATH of $1200 (afterwards: mother of all bubbles)
Beginning of 2019: stable phase slightly above the low of $3000 (about 1/6 of the ATH of $19500).
We see that "around half the ATH price" is definitively a price region where stable phases occur relatively often. Three of the four previous ocurrences of this pattern led to bull runs afterwards. (This could be a psychological phenomenon: if the price afterwards goes up it will approximate the ATH, what may give more power to the rally).
Conclusion: The current stability could definitively be a bullish sign, but it's not sure.