The transition to quantitative methods of assessing scientific performance in Russian science in the early 2010s led to a sharp increase in publication activity. It has been accompanied by inflationan outstripping increase in the publications number due to not always justified collaborations that allow results to be credited to several organisations and a decrease in the average quality of the publication flow. Growth has been achieved mainly through publications in conference proceedings and low-rated journals. Since 2020, the Ministry of Science and Higher Education of the Russian Federation has applied a new assessment methodology that implements the model of collaboration penalty and quartile bonuses: fractional count of publications and multiplying factors for ones in high-impact journals. The analysis carried out as part of this study shows that the primary beneficiaries of this transformation are academic institutions specializing in Chemistry, Materials Science, and Life Sciences. Organisations traditionally strong in Physics and Astronomy are somewhat inferior to the leaders, mainly due to active participation in mega-collaborations. A separate scale of quality factors gives unjustified advantages to social science organisations, which may exacerbate the number of scientific ethics breaches. In general, the new system should help mitigate distortions in the development of Russian science. However, some side effects of its implementation need increased attention and will probably require adjustments in the methodology.