This question deserves more than just a simple answer. Let me break the question down a bit.
1. For washing glassware used for chemical processes and has old crud caked on it, you may have to soak the glassware in acid (chromic acid?) first to dissolve the crud. Then a wash with a detergent and distilled water rinse would be order. It would be hard to do all this with a machine.
2. If the glassware used for chemical processes does not have dried residue, then an expensive laboratory washing machine with distilled water rinse capabilities would be more labor saving than hand scrubbing.
3. If the glassware is used for microbiological purposes, then it should first be autoclaved (sterilized) prior to cleaning, and then special non-biocidal detergents should be used prior to rinsing. Depending on the number of glassware items to be cleaned, either hand or machine washing with a distilled water rinse could be satisfactory.
In general, either hand or machine washing can be made workable. Methodology varies with your specific needs or applications. Of course you could always beg the question by using plastic disposable containers if possible.
The above are simple thoughts on a complex subject. It might be a good idea for a Hub.
Let me know if you wish to communicate further.