I would argue that logistical shortcomings had no impact on the tactical battlefield in the Russo-Japanese War, but rather had it's impact strategically.
Russian soldiers were brave, and pretty decently equipped. There were no shortages of ammo or weapons for the soldiers, and when it counted, they had the manpower to do the job.
I would highly recommend The Rising Sun and The Tumbling Bear by Connaughton as being both a gripping read and an excellent discussion of the situation that both the Japanese and Russians faced in the war. link
The Japanese won largely because they were motivated and well trained on average while both sides were willing and able to sustain devastating losses. Both sides had similar tactics and equipment and believed that the bayonet charge was the war winning tactic.
The individual Russian was extremely brave and well versed in what he was trained to do, but was typically led by officers who were a mixed bag of political appointees and eager bright young officers who in turn were often led by senior officers who had no business being officers in a modern army at that time. Kuropotkin was one of the few senior officers who didn't underestimate the Japanese, but was so cautious and so timid that he turned possible victories into defeats and his hesitancy infected the entire senior staff.
There are accounts of Russians holding out desperately against wave after wave of Japanese soldiers only to be unsupported and unreinforced and being forced to retreat (or being overrun) when the battle could have been won or at least a stalemate achieved.
The war was lost not by the individual tactics used, but by the leadership on the Russian side. Ironically, Kuropatkin was ultimately right in his grand strategy- which was to give ground and bleed the Japanese until he had enough forces to overwhelmingly push back the Japanese. The problem is he totally misread the feelings back in Europe and the support he was going to get. By the end of the war The Japanese were indeed almost broke and at the end of their logistical tether, but by then the government in St Petersburg had given up and refused to send more Russian boys to their deaths. The Russian people were so stunned by the losses (especially the naval losses) that they turned revolutionary (something that shocked the communists, who weren't prepared when this moment came).
An all out push by the Russian army at the time of the ceasefire would have probably resulted in a Russian strategic victory- but that was simply not a political reality. They still had a huge army, plenty of ammo but no political will. On the other side, the Japanese army and government still had the political will but were exhausted, nearly broke and had no more manpower to give to the war.
The Japanese agreed to negotiate the end of the war because they knew this and felt they could consolidate their victory in a treaty and gain reparations from Russia to stimulate their economy and placate the populace who had sacrificed treasure and sons to win and expected spoils. Things didn't go quite as planned and in some ways the Japanese won the war and lost the peace (which would create widespread resentment in Japan and plant the seeds for the conflict 30 years later).