The phrase 'procede to' is not one I've heard used so I can't really comment on that one but as far as the others are concerned, if I say 'route direct to XXXXX', it means just that - you should point your little magenta line at XXXXX and follow it. 'Resume own navigation to XXXXX' means the same thing but I would say it when I no longer required you to be on an assigned (or dare I say radar) heading.
If I were to say 'resume own navigation XXXX, YYYY, ZZZZZ', once again, I would expect you to fly that route whether or not it was your filed route. In each case I would expect a readback and although I would be in my rights to expect you to go the way I have said, it would be foolish of me to base lateral separation on the anticipation of you complying.