First, let's suppose some changes compared to OTL. Kolchak's attempts to prevent the independence of the Russian Empire's western borderlands (Finland and the Baltics in this case) have to be removed, so we'll say that the British are able to push this point more aggressively. Yudenich's government in the Northwest was prepared to offer independence in exchange for support on his Petrograd offensive. Without Kolchak threatening the Finns, there's a good chance that Mannerheim is allowed to open a front in Karelia against the Reds. If Estonian participation is able to pay for their independence, Estonian support would probably also be more intensive. I don't know if better Finnish and Estonian support could change the outcome of the campaign by itself, or if we need PoDs to keep the WVRA from fighting the Estonians, but that's not really the question I'm asking.
Petrograd was effectively the birthplace of the Russian Revolution going back to the 1905 rebellion. What kind of impact does the loss of the city have on the Red war effort at this point in time? The Reds were on the offensive against both Kolchak in the east and Denikin in the south at the time, so I don't see how they could really lose those unless they halted the offensives and transferred massive numbers of troops back to the Northwest Front. IOTL, the Red forces (7th Army) gathered to defend Petrograd were primarily from the Northwestern Front, which effectively collapsed as a result, and this was what enabled the Baltics and Poland to gain independence. Red reinforcements were also ordered in front the White Sea area, but not from the eastern and southern fronts (at least not before the White offensive stalled). Lenin was in Moscow at the time but Trotsky had gone to Petrograd to supervise the defense, so it's not inconceivable that he could have been killed or captured if the city fell. I don't think this would have had nearly as great an impact at this late stage in the war as it could have had in 1918.
Petrograd was effectively the birthplace of the Russian Revolution going back to the 1905 rebellion. What kind of impact does the loss of the city have on the Red war effort at this point in time? The Reds were on the offensive against both Kolchak in the east and Denikin in the south at the time, so I don't see how they could really lose those unless they halted the offensives and transferred massive numbers of troops back to the Northwest Front. IOTL, the Red forces (7th Army) gathered to defend Petrograd were primarily from the Northwestern Front, which effectively collapsed as a result, and this was what enabled the Baltics and Poland to gain independence. Red reinforcements were also ordered in front the White Sea area, but not from the eastern and southern fronts (at least not before the White offensive stalled). Lenin was in Moscow at the time but Trotsky had gone to Petrograd to supervise the defense, so it's not inconceivable that he could have been killed or captured if the city fell. I don't think this would have had nearly as great an impact at this late stage in the war as it could have had in 1918.