From a judges perspective, especially at JO meets, I score the 1st routine as consistently as the last. If the 1st routine is phenominal, then I score it, and keep track of that score as the "best" throughout the meet.
As a coach, bar settings and vault height are usally 1st priority. Sometimes we cant change the order, either. If we can, I try to put the kids in order to the benefit of the athletes- for example, if I know a kid likes to go 1st. On beam, there is usually one kid that likes to go 1st st, and I know they can hit, I put them up 1st.
In compulsories, and lower level optionals/ meets the ORDER DOES NOT MATTER. At the Olympics, yes, but now its even less so w/ the open ended scoring. Yes -(unless you are talking to a comentator who likes to spout off useless info on NBC) competitive order has NO EFFECT on scoring. The judges are very competent and (usually) place the routines correctly.