That you are asking these questions demonstrates you haven't already though through the scenarios.
The Russian sense of greatness and independence still remains, even if Putin goes.
That is true of Putin, the USSR and Imperial Russia before it.
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Why would the EU ever move into Russia's orbit?
Russia is a lot smaller and poorer than the European Union.
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And you are talking about the EU being a satellite to Russia.
That demonstrates a complete lack of understanding as to the balance of power.
The EU has a population which is 3x larger than Russia.
The EU has a GDP which is 5-10x larger than Russia, depending on how you measure it.
In any close relationship with Europe, it is Russia that becomes the satellite.
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Please think through your analyses before posting them.
The complimentary nature of the EU and Russia is that Russia is a major military power, while the EU is a major economic power. Alone, they're both doomed to irrelevance as the EU is not technologically competitive and has no growth prospects, while Russia is in massive economic rot. Together, the EU gains access to lots of skilled Russian labor or professional Russian labor, alongside massive resource wealth. Russia, on the other hand, gains access to EU money.
You are being very short-sighted about all of this. Putin is fighting to keep NATO off Russia's borders, but for what? People assume that Russia has no endgame or victory scenario and can only punch back and hurt the West as it's doomed to irrelevance. But it has an alternative to such.
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Put another way, Russia's future is either in European arms or Chinese arms. When it comes to Russia in Chinese arms, Russia will become wholly a Chinese satellite as Russia has no advantages at all against China except in its number of nukes. When it comes to Russia in European arms, on the other hand, Russia isn't facing 10 times its population, it's facing 3-4 times its population. As I've stated before, while Europe is economically strong, Russia is militarily strong, and the asymmetry allows Russia to negotiate a better deal with the Europeans than it would with China.
The present circumstance, however, has the EU as essentially a US satellite without an independent foreign policy. See weakness in the United States, on the other hand, and further EU-US conflict, the EU is now free to choose. While Russia wouldn't want to join the Western bloc that's led by the same power, the United States, that betrayed it and destroyed its empire (and remember that the Chinese betrayed the Soviets in the Sino-Soviet Split), the EU is something different.
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Or, in other words, what you're implicitly saying is that you expect Russia to become a Chinese satellite and under effective Chinese domination as Russia can't afford its Armatas or its Su-57. That's the direction of Russia without Europe.