I personally think so, considering it would still take Lenin the same amount of time to get to Russia from switzerland, so he wouldn't be in a position to carry out the october revolution until 1918, by then american soldiers had been pouring into ww1, which would cause the Russians to realize that the end of the war is near.
Military situation was irrelevant for the February and October Revolution, Russians are still starving and the Tsar still doesn't realize the danger and continues to delay the Duma sessions; less military defeats don't solve Russia's problems.
And the scenario somewhat depends on
how the February Revolution has been postponed.
Had the Russians not done the Brusilov Offensive and just sat on the defensive in 1916 and 1917, I think there's a strong case to be made that they win the war and sit with the victors at Versailles. In which case, the Versailles negotiations would have been different in character by quite a bit.
The Brusilov Offensive didn't made things worse for Russia, they would've attacked anyways just against the Germans (which IOTL was their plan, but Brusilov unexpectedly achieved success which scared the commander that was supposed to attack the Germans as he didn't want to tarnish his reputation).
And regardless of the situation on the military front, the reasons for the February Revolution were starvation, hate for the Tsar etc. which still are very present so don't expect massive delays. Once the Provisional Government takes over it will still face workers who constantly demand higher wages, collapse of discipline in the army etc. which will only be made worse when the Bolsheviks take over.
The only thing that it changes is that the Kerensky Offensive is now directed against Germany instead of AH so Kornilov never takes over command instead of Brusilov but it will only delay the Bolshevik coup, so little changes.
Could Italy been wrecked worse to any critical effect by the Austrians in consequence of no Brusilov offensive?
Somewhat better for the Austrians but doesn't massively change the war.
Or could the Germans have Ver-doomed the French more at Verdun in consequence of no Brusilov offensive?
I also doubt about that, while the Brusilov Offensive diverted resources from Verdun, the Russian offensive against the Germans (who was planned to be the main one) would now show less restraint than IOTL and Verdun was unlikely to be a success from the very beginning.
Could any of the Russian resources not expended offensively on the the Brusilov offensive in Europe have reinforced the quite successful Yudenich offensives in Caucasus and Greater Armenia/eastern Anatolia of 1916, to which the Ottomans, unlike the Germans, seemed to have no effective reply?
Anatolia was not a very important front for Russia, resources are better used against the Germans and Austro-Hungarians.
The only thing which might make a difference is that Russia simply doesn't take part in WW1.The consequence of that would be far less people in Russia that are armed leading to a more one sided civil war.
There would be no civil war at all in that case since Nicholas isn't deposed.