I believe (hope) they will have influence at some point, but it’s definitely not going to be because someone made a Javascript plugin on Github to block Russians.
Of corse they do. They do not operate in vacuum. If 10k Russian soldiers die and their mothers would go to street, what would Putin do? Beat them up? They may not have a man power to arrest all of them and place to put. This may cause some people in places like Dagestan to revolt. Workers in a tank factories could go to strike.
Putin and buddies to have to calculate that risk. It may cause a cease fire.