ASRC does not eliminate jitter, the input jitter gets encoded as "amplitude" errors in the converted signal. (The converted signal might not necessarily have less jitter.) If the signal were to be converted in a later trial, a totally different set of "amplitude errors" would be encoded in the converted signal. The converted data in multiple trials would never be numerically identical.
In contrast, synchronous conversion does not introduce "amplitude errors", because timing is not involved in the conversion. Just the values of each input sample. The converted signal in multiple trials would be numerically identical (provide no data is misread from the media).
"My personal experience, and what appears to be a broad general consensus, is that synchronous interpolation (wherein the original sample points are retained or scaled) is sonically preferable to asynchronous interpolation (wherein the original sample points are completely replaced by interpolated values)."
This is because with ASRC, the amplitude errors from the input jitter embedded in the converted signal is essentially noise introduced into the signal. Synchronous conversion does not have this problem.
