Good idea though i am with 50-50 opinion

We already have pets to pick up gold & drop(Except chest & eggs) the only problem is that if we move fast pets don't pick the drops as they run behind us to stay close to us & help in combat.
After the release of speed set pets have been really tired of running fast & fail to pick up the drops as well as to keep up with chars.

Increasing the speed of pets as well as range to pick the drops would resolve the issue of missing the drops/gold. It would be better to modify something that already exists instead of deploying an additional/new feature.