The answer to this question is: "we don't know". This is because COVID-19 statistics reported by Russia may be highly questionable. This alone makes its interpretation hard, whether or not the vaccine is widely available by the time the data are published. Even by the time the vaccine is distributed widely, and regardless of its effect on COVID-19 statistics, the serious questions about the data will remain.
Some refer to the COVID-19 statistics currently coming from the official Russian sources as "almost completely handcrafted and manipulated", and having "nothing to do with reality at all"
A chart of daily cases of COVID-19 in a Russian region looks suspiciously level to me - is this so from the statistics viewpoint?. The answers note that "[The chart] is decidedly out of the ordinary", and that other charts from Russia show similar "underdispersion".
For health demographers like Aleksei Raksha, employed by the state
statistics agency Rosstat, something hasn't been right for months, and
in May, he spoke out publicly: The low death toll wasn't due to a
superior state response, he said, it was due to how coronavirus
statistics were being counted.
In other words, Russia has been misclassifying COVID-19 deaths.
Two months after speaking out, Raksha received what may be official
acknowledgment of his contribution to Russia's national discussion
about the government's response: He was fired from his job, he said. ...
"In general, the statistics on the Stopcoronavirus.ru website raise a
lot of questions, I don't trust them, and it's obvious to any
specialist that they've all been drawn, forged, fitted, brushed,
cropped, aligned and almost completely handcrafted and manipulated,"
"But we have nothing else, so you need to somehow take [this data],
decode it, think it out, and make a guess. Unfortunately, it is very
difficult to draw conclusions based on it," he said. ...
Rosstat itself has come under fire over the past year, with
allegations that its otherwise reputable number collection and
record-keeping on many socioeconomic indicators were being manipulated
for political purposes.
Mark Krutov, Timur Olevsky. "Russian Demographer Questioned Government COVID-19 Numbers. He Was Fired Earlier This Month." Radio Free Europe/Radio Liberty (RFE/RL). July 13, 2020: https://www.rferl.org/a/russian-demographer-questioned-government-covid-numbers-fire/30724158.html
“In many regions, the statistics have nothing to do with reality at
all,” said Tatiana Mikhailova, a statistician who has been tracking
the virus outbreak since the beginning and regularly raises concerns
about data. ...
But Mikhailova told The Moscow Times that the quality is so poor, “it
makes no sense to draw medical, virological, or epidemiological
conclusions from them.” ...
New more detailed information on deaths being published by regional
registry offices — with a significant delay — is now starting to show
just how wrong Russia’s original fatality count is.
The data shows that Russia saw 26,360 excess fatalities in May and
June, compared with the average death tally over the previous five
years, while Russia’s coronavirus task force reported just 9,303
fatalities from Covid-19 over the same period. ...
“Essentially all Russian regions are doing their best to artificially
suppress the headline death count,” said Mikhail Tamm, a statistician
at the Higher School of Economics (HSE). ...
In a policy which runs counter to World Health Organization guidelines
— which says all deaths related to Covid-19 should be counted as such
“unless there is a clear alternative cause of death that cannot be
related to Covid-19 disease (e.g. trauma)” — Russian authorities only
count deaths assigned to the first two categories [out of four total]
as specifically resulting from the coronavirus. ...
The broader interpretation of coronavirus-related deaths would have
sent Russia’s overall mortality rate at the end of June up from the
1.4% reported by the task force to 4.2%.
Once again, in many regions, the discrepancy is significantly starker,
and further complicates understanding the regional aspects of Russia’s
coronavirus spread, which was already showing major discrepancies. ...
In fact, including all deaths would have more than tripled the
headline mortality rates in 19 of the worst-affected regions.
Jake Cordell. "Six Months Into the Coronavirus Outbreak, Russia’s Statistics Still Provide More Questions Than Answers." The Moscow Times. Updated: Aug. 13, 2020: https://www.themoscowtimes.com/2020/08/11/six-months-into-the-coronavirus-outbreak-russias-statistics-still-provide-more-questions-than-answers-a71069