Ok Gollevainen - lets go off topic for a second just for some background, based on my personal opinion.
Sure Chechenya is a peice of the Geopolitical Jigsaw and competition you refer too, but how did we get to this position.
Broadly Western policy for 40 years was to destroy the Soviet Union, period. It achieved this objective. Had the West pushed at this point, the former SU would have imploded and collapsed completely and some parties wanted to cause this to happen. Others however saw the risk of this enterprise and realised that a former Nucleur Superpower in Anarchy was seriously dangerous. especially with lots of Far Right Russian Nationalists in a strong and popular position.
The answer seems to have been to roll in gently with a series of peaceful democratic revolutions, well financed by the West via NGO's etc which could easily rout the bankrupt former Soviets. these revolutions would have swept into Russia and also the PRC. replacing Communism with Liberla Democracy. Well for a while this worked (and today is still working to an extent). Two things threw a spanner in the works:
1 - the Balkans - where the West had to spend years securing a problem in the Rear Flank.
2 - Tianaiman Square - Where plans went off half cock too soon and were easily dealt with by the better orgainsed CCP.
These factors aside, had Russia been alone, even with delays and diversions, the West would have probably overun it by now, especially with Yeltsin at the Helm.
Then things went seriously wrong - All the planners; focused intently on Russia, had taken their eye of the PRC.
Suddenly Russia had a strong friend and Buttress. Yeltsin went and Putin came - no more tame Russians.
Now I believe Western planning is in utter disarray - they simply have no plan to deal with a Russia backed by a rising Chinese Superpower. Revolution has stalled and even been bounced back.
Russia is now sandwiched between two massive powers, the big question is how will Russia deal with a Rising China? will it act as a conductor, passing all the stress to its Western Borders to Impact the West directly? or will it act as a resistor and risk being crushed by the pressures being asserted at either end?
We are in a game where the rules have suddenley and unexpectedly changed and no one is really sure how to play anymore. Hence why the West wishes to keep the status quo with Chechenya.
Like I said. just my personal view