Just to state the obvious, the Ukrainian Army claims of Russian casualties are inflated. Still, I find people on twitter who are repeating the Ukrainian claims like they are fact, including people with significant followings (100K+). They are even doing some estimates of Russian dead per day, based upon this questionable data. They should know better.
Let us look for a moment at the Ukrainian Army claims as of early 3 June of 30,950 Russian soldiers killed. Now, the wounded-to-killed ratio for operations in this war looks to be around 4-to-1. This is based on the reporting of the Donets Peoples Republic, which oddly enough, has been consistently and steadily reporting their losses. Also see: Wounded-To-Killed Ratios | Mystics & Statistics (dupuyinstitute.org) and Chapter 15 of my book War by Numbers.
So 30,950 x 5 = 154,750 casualties (not counting captured and missing-in-action). This is out of a Russian force in Ukraine estimated to be 150,000 to 190,000. Something does not match up here.
The Russians are advancing, so they are either 1) advancing against a Ukrainian army of 200,000+ with the few remaining tens of thousands of troops they have, or 2) They have deployed over 100,000 brand new replacements (for which there is no evidence) who are advancing against this motivated and experienced Ukrainian army, or 3) the Ukrainian estimates are high. The latter seems the most logical explanation.
It does appear that the Ukrainian claims are off by a factor of 2 to 4. So, maybe 7,738 to 15,475 killed if we divide the Ukrainian estimates by 4 or 2. The NYT claimed that as of 19 April U.S. intelligence estimates were between 7,000 to 10,000 Russians killed. This seems like a more reasonable estimate.
The same NYT report on U.S. intelligence estimates were that Ukrainians had suffered 5,500 to 11,000 killed as of 19 April.