Files with no file extensions are already incorporated into all functions/code/tools that do file backups: Setup Wizard, AutoRestore tools, etc., but on some Server types/configurations, files with no extensions are not backed up. That is just a limitation on those particular server types/configurations and is not something that can be changed or controlled in BPS Pro code.
What we may be able to do is add an additional check for this type of issue, but if the cost is too high then we will not do that. Website performance is a top priority so if there is a way to not use up excessive server/website resources to do an additional check for this issue then we will add it. If it costs too much then it will not be added.