Not really in either case IME because just about 80-90% of everything in the game has the same speed, and the creatures that don't have the same speed are nearly always
faster than the PCs....
1. PC disengages and moves 30 feet. Monster moves 30 feet and attacks, repeat until PC dead.
OR
2. PC flees (dashing), provokes OA. Monster dashes to re-engage, repeat until PC dead.
You can't take the Hide action under direct observation in most cases, and if you are Disengaging or Dashing, you have no action to Hide anyway...
(bold)
Now, your modified versions might work better and are good enough for you, but using RAW unless I am missing something, they pretty much suck.