I think there's a mix-up in what Harry's potion does, and what the shifts do.
On (YS303), there's this blurb:
Allows the consumer to easily and effortlessly move through almost any
Only a magical barrier with more than five shifts of strength or a
very well sealed mundane barrier can prevent movement.
There are variations that increase movement, but the base potion described does one thing, i.e. it allows movement through barriers.
So you have two effects in what you're describing- the ability to move faster, and the ability to move past barriers. You can do either as a potion's potency, or both, increasing the shifts of power that go into the potion. But you don't get passing barriers for free.
So if we wanted to recreate Harry's potion, and add the shifts of speed and do both at 3 shifts of power (i.e. increase sprinting by 3 shifts and pass 3 shifts of magical barrier and mundane barriers), you'd have to have 6 Lore, or devote enough slots to effectively have 6 lore in that one potion, per (YS280), i.e.
The effect strength of potions, like enchanted items, is equal to the
Wizard's Lore. Multiple slots devoted to potions allow the wizard to
- Have multiple potions at one time; or,
- Add +1 to the strength of any potion.
Now, putting that into a rote would require the same things, i.e. you need 6 shifts of power in the rote for both effects.
These 6 shifts can come from items and/or your own Conviction and Discipline, i.e. if you have a Conviction of 3 and Discipline of 5, you'd need +3 items to get enough shifts in the power, and +1 in items to control the power reliably to make it a rote (YS257)
But you'd always need to have those three items to cast the rote, no matter how powerful you subsequently became.
Look at the example on (YS258) for a good example of how Fuego is a rote for Harry when he has his blasting rod.