Think they are focusing heavily on that as you have said mate, but still hasn't stopped them tying up various deals over the past 3-5 years involving Chelsea (official energy partner - and can see their sponsorship influence all around the Hoardings), Red Star Belgrade (Shirt, Hoardings and youth team sponsors) and Shalke (recently extended unto 2017 - which goes against them pulling away from club sponsorships), and obviously they sponsor Zenit to an absolutely ridiculous amount
Overall think both Zenit and Shalke come in exceptionally highly in terms of their sponsorship deals (20m a year fpor Schalke as example which is far and away above their 'market value'.
Internationally - obviously their one if not the main sponsor of the CL, and are an offical sponsor of FIFA (think that deal runs until after the World cup in Russia).
Until the world cup is done and dusted in Russia you may see a more singular approach from them thats true, but it is only 2 years away, and after that who knows what direction they wil take, for them NOT to have a very high visibility vehicle for them in the premiership does seem strange though - and think it will be sooner rather than later before they rectify that, then again 2 years would tie in nicely for us with exsiting deals ending and 'hopefuly' a new ground well under way
All musing out loud by me ofc, but of the REALLY big fish who Moshiri has had clos contacts with over the years (Usmanov basically is responsible for the way Gazprom is today - and likely for it's involvment in sport as well), they are the ones who would be the prize catch