i personally do not see a difference as long as caution is used with the hotplate. if the tech leaves the thing sitting there scorching part of the soil for long time, then there might be some slight variances. even then, i would find it hard to believe that a non-organic, sandy silt/silty sand soil would experience dramatic changes due to the lack of care during the drying process on a hotplate. i would say that the precision of the tests would probably be just slightly better with oven drying but the difference would likely fall within the variability of the test itself. if you ran say a proctor test 100 times with 50 times using oven dry and 50 times with hotplate, i'm willing to bet you would not see a discernable difference in the results due to the inherent scatter of points. you definitely would not see say a density test change from 96% to 86% (in other words, i'd say you're going to be in the realm of round-off error with what you describe). that's my opinion...
i'd be interested to see if someone has a bank of test trials with the two methods on the "same" material.