Muscovy was influenced a lot by the Mongols/Tartars and as such had a lot of horse archers. Boyars in Muscovy fought as horse archers and didn't arm themselves with lances
As you said the early Moscovy armies were much more similar to Tartar style with more focus on cavalry and fast movement...
Yes...
"All they do is attack the enemy, pursue or whether he will flee from him, they make a sudden and fast. At first encounter they attack the enemy very bravely, but can not stand long, as if adhering to the rules: Run or we will flee. "- Wrote about the Russian cavalry Herberstein
«Всё, что они делают, нападают ли на врага, преследуют ли его или бегут от него, они совершают внезапно и быстро. При первом столкновении они нападают на врага весьма храбро, но долго не выдерживают, как бы придерживаясь правила: Бегите или побежим мы.» — писал о русской коннице Герберштейн
Russian soldier equipment middle XVI century. An engraving of the Basle edition Herberstein, 1551.
Тhe Russian weapons and battle tactics were similar to the Eastern/ Asian warriors.