Lots of variables to consider in there. A little detail as to the strop and compound would be useful. Did the razor that passes the HHT come from a source that said 'shave ready'? If it's straight from the factory it almost certainly isn't and would benefit from a proper honing as could the other one. What are the razors? Some brands will never hold an edge (eg Zeepk).

The technique for a true straight as opposed to a Shavette differs. I've never used one but some of the differences between the two tools are gone into here. Equally there are some great articles on shaving with a straight on this page. Good luck and keep asking questions. Others will chip in soon, I'm sure.