Depends
If Russian state television is spinning it off as rebels downing the plane, which is what they're doing, talking about surface to air missiles, according to analysts listening to Russian state TV, then it's pretty obvious that even with a dead pilot, they can spin it by just bombing the rebel areas, without any relation to Turkey.
A war with Turkey is not simple, there is NATO, there is the Turkish army, and not sure, maybe @Sinan can confirm but Turkey have a nuclear deterrent from the US as well?
Putin is a smart man.
just because it involves US and NATO... dont think he'll just look away.
just look at what NATO tried to do in ukrain and what putins reply was.