No Classic Explorer cannot solve this problem. This issue cropped up in Windows 7 where selection started to get lost as soon as files were sorted. However if you use the third party tool, Folder Options X:
http://free-sk.t-com.hr/T800soft/softwa ... ptions.htm (enable any of its first 3 options), it forces Explorer to use the older ListView control which preserves selection after sorting. In Libraries, it has no effect but outside of Libraries, selection is preserved after sorting when the ListView control is used.
Note: Any recommendations of third party tools is only to help you. Classic Shell bears no responsibility for anything that happens from use of those tools.