Arcane Lock says, in the spell description, that you have to touch the closed door, etc. If distant spell only changes the range entry, then distant spell doesn't work on it. Which is ridiculous; metamagic rewrites the spell, including making the sensible changes to the rest of the spell for it to make sense.
Quicken Spell changes the casting time to 1 bonus action. If you cannot apply metamagic to change the requirements of a spell, then it is useless -- you still need to start casting it as an action? So if your action was gone, you couldn't start it? No: metamagic rewrites the spell before you start casting it.
To cast S or V spells, you cannot be bound or gagged. If you cannot apply metamagic to change the requirements to cast a spell, subtle spell doesn't work while bound or gagged. But that isn't sensible; metamagic rewrites the spell before you start casting it.
This isn't magic the gathering. 5e was not written like magic the gathering. Heck, the first iterations of MtG wasn't written like that, and I remember it; only after many iterations of competitive play did it get rewritten to work like that.
The 60 foot range, in plain English, clearly refers to the trigger range on the spell. Only if you where evaluating a MtG card, or some other phased board game, would you even consider those two 60 foot values to be different values. And 5e was written as a natural language game, not a MtG card game.
You can try playing it like a MtG card game, with careful phases like that, but it isn't very good for that purpose.
There are some situations where you are sort of forced to do that, because you get two contradictory common sense interpretation. This isn't one of them.
Quicken Spell changes the casting time to 1 bonus action. If you cannot apply metamagic to change the requirements of a spell, then it is useless -- you still need to start casting it as an action? So if your action was gone, you couldn't start it? No: metamagic rewrites the spell before you start casting it.
To cast S or V spells, you cannot be bound or gagged. If you cannot apply metamagic to change the requirements to cast a spell, subtle spell doesn't work while bound or gagged. But that isn't sensible; metamagic rewrites the spell before you start casting it.
This isn't magic the gathering. 5e was not written like magic the gathering. Heck, the first iterations of MtG wasn't written like that, and I remember it; only after many iterations of competitive play did it get rewritten to work like that.
The 60 foot range, in plain English, clearly refers to the trigger range on the spell. Only if you where evaluating a MtG card, or some other phased board game, would you even consider those two 60 foot values to be different values. And 5e was written as a natural language game, not a MtG card game.
You can try playing it like a MtG card game, with careful phases like that, but it isn't very good for that purpose.
There are some situations where you are sort of forced to do that, because you get two contradictory common sense interpretation. This isn't one of them.