The devil lurking behind Botai, WSHG and modern population connections in West Eurasia

I've seen that the West-Siberian Hunter-Gatherer ancestry (WSHG) is in several texts connected to modern day Northeast Europeans  (obviously not by original studies) and now later the same theme is again on topics of new Botai samples.  The Botai was firstly presented by  Damgaard at al. 2018.   But have we one or many explanations for these assumed connections between ancient Siberian-like people and present-day population in Asia and Europe?  Was the connection, mostly even subtle, a result of any migrations or are tests only showing some common ancestry between WSHG/Botai and present-day populations?   I have not seen Damgaard et al. due to the payment wall, but Jeong et al. 2018 gives similar results I have got using f3-statistics.   My tests, as well as Jeong, shows extreme high common drift between Botai samples and ANE and WSHG acts very similarly.  ANE is presented by the Mal`ta child, who lived in Siberia about 24,000 years ago.  F3-statistics show that WSHG and Botai shows high common drift also with EHG (Eastern Hunter-Gatherer), which of course means that EHG can act like a WSHG/Botai proxy to West-Eurasian populations and vice versa.  The EHG ancestry is very common everywhere in Central, Eastern and Northern Europe, but highest in Northeast Europe and in Baltic Sea region.