It's does. Especially for the past. There was strongly specific accents. And there are still. Maybe something new differences and nuances, but they are still.
And there is the interesting thing, that in the former ex-Union national republics there is often more literate speech, because of departures, exiles and war-period evacuation.
Strange question -- there was (and were) a lot of Russian dialect differences.
But, in XX century, the language became more or less unified, with help of radio, TV, and (in last decades) Internet.
BTW, some word are still different even between Moscow and SPB (pavement == "тротуар"/"поребрик" and so on.)
By "today's age", I assume you are presuming no significant socio-economic changes in the world, which is an extremely unlikely assumption. Seemingly minor technical changes (cell phones) can vastly expand ability to communicate remotely.
The basic sociolinguistic model of language change is that certain groups of people communicate with each other ...