Yep, no one wants to spend the time only to find out efforts resulted in 'less than ... '.
As long as your users do not attempt to use a moodle mobile app ... which requires webservices and php xml-rpc (if I'm not mistaken) then ok.
But ... consider ... site is to be 24/7 and available from 'anywhere' ... that suggest no restriction as to device/browser used. Laptop/Desktop, plus hand held device ... be that smart phone or 'fablet'.
IMHO, if hosting doesn't support all that is 'required' or 'highly recommended', then think I'd find hosting that did support.
Choice is yours however. Hosting your own Moodle is 'do it yourself'.
'SoS', Ken