The 2000 is the best, am quite jealous myself most of our family have 2000 STbs, they seem to be better on interactive.
They do not have Broadband on them, so can not comment on Broadband on them but they are supposed to be the best.
Remember there are different 1000 STbs as well 1000 and 1000+.
I have the 1000+ which seems to be very tolerant on BB but not on interactive or TV.
STB troubleshooting is featured on robins site
here