Since probably 75% of the cattle raised and sold by farmers here in this area, are sold at the stockyards... whether singly, in small groups, or even in larger groups... if they go through the ring... they are sold by the weight they were weighed in at. The only time that there is shrink figured in, is for cattle that are SPECIFICALLY stated with xx shrink. I think that you do it a bit differently. When we take in say 5 head... they go across the scales...and it says they weigh 550 lbs .... that is the weight that shows on the wall when they come in the ring... and that is what we get paid on.... We had 18 in one group, they went across the scale in 3 groups of 6 since the scale cannot handle that many at a time... 3 weights of over 800 lbs were added together and divided by 18 to get an average weight per animal... and that is what we got paid for... total weight but they post the AVG weight of the animals on the electronic sign and the total weight of the group....
Shrink is not figured into the price paid "per se"... Yes, it is figured in by the buyers,,, and fat cattle bring less knowing they will "shrink" some in transport etc... that is what the buyers get paid for... to see that and to know at a glance what the shrink might be... but overall, around here, average people in general do not think shrink weight when cattle come into the ring.
Also, places that announce the seller; and some do and some do not; will tell the buyer what to expect... some cattle will shrink more than others, some are considered "harder" cattle than others and will shrink less..
To just look at an animal, like your steer, and tape him, then that is what most people would consider his weight... which it is at that time... and I don't think anyone on here would have held you to the fire if it weighed 801 or 833... to me, it was just a tape measurement amount... that no one I know takes for gospel anyway, as tape measurements will give you an APPROXIMATE weight...
I realize that even a few pounds can make a big difference to cattlemen that feed and move alot of cattle like you do... it just is not a "first thought" thing with farmers just looking at an animal here, and comparing to the weight like when you acquired him.