No, you put those two machines on dirt or asphalt and they each go over hydraulic relief. I've tried to push my RC50 backwards with a T300 on both dirt and apshalt and they just sit there in a hydraulic standoff going over relief when both of them are pushing. Based on that I would assume that the same thing would happen with the SR80 and the T250 since the SR80 is only about 400lbs lighter (not 4000lbs lighter like the RC50 compared to the T250) than the T250 and about the same engine hp.
The question on this thread isn't whether a Bobcat T250 is stronger than a RC50 or SR80, but whether or not rubber track machines can push snow. There are tons of other debates about power, performance, reliability, brand preference, etc. This one is about snow pushing, and before all of the comments come out about whether this is all smoke and mirrors I will tell you that after selling Bobcats here in Wisconsin for over 8 years and now owning an RC50, the ASV machines will outpush rigid undercarriage machines (regardless of brand) in snow removal by a margin so big it isn't funny. Once again, dirt work is another thread or discussion.