So you don't trust my friend Orren's excellent suggestion, spare the headache and just plug the damn line into the amp?
Aha!
Your fault. Here we go - and don't complain:
A line output is not exactly the same as a guitar pickup. A passive pickup is a coil around a metal heart, even if you do not play metal. It has a low resistance and loves a high input impedance in the amp. Therefore the amps have normally 1 MΩ input impedance or more. An active pickup is an electronic device, see it as a little preamp. It comes closer to your interface outputs but is still not the same.
Pickups, stomp boxes and many multieffects are designed to go into the preamp stage of a guitar or bass amplifier. A line output is designed to go, surprise, into a line input. But before we continue, I give you a last chance: Unless you are a technician the difference between the output of a stomp box and your line outputs is not big. You can safely ignore it if you are happy with the tone of your amp when you use it for reamping. Just plug the line in and listen.
You are still here? Ok. Technically this connection is not correct. Not at all. Your interface has most likely a balanced output but the amp expects an unbalanced input ("mono" cable). Since you do not use one phase in the input jack, or may even shorten one phase to ground, you lose 6 dB. Bad? Not really. You get plenty dB's from your interface to overload the amp.
To make it correct, you should at least remove the cold phase in the plug or use one mono lead of an Y cable which does the same. And it does not matter which one you use. After reamping you have to check the phase in Logic anyway.
Second, think if you really need the whole amp. Do you need the preamp stage? Is the preamp why you really love the tone or is it the power amp that feeds the speakers? Many amps have an effect loop and you can also plug your interface into the return jack of that loop or straight into the power amp if there is an input for that. Some amps call it "Monitor" input. All of these connections bypass the preamp. If you need the preamp or the EQ or something else, you want the guitar input.
Furthermore, with the removal of one phase you cripple the signal, technically. If you don't want that, insert a DI-box between the audio interface and the amp. Beside of a couple of resistors for a pad, a passive DI should have only one component: the transformer. You may know what for a DI-box normally is, you use it to feed an unbalanced signal from one side and get a balanced signal on the other side. But since there are no active parts in a passive DI, you can also use it in the reverse direction to feed balanced and get unbalanced. This is what the amp would expect if he had eyes to see it.
The crux with a DI-box is the transformer. A cheap transformer may sound interesting, but the very best transformers are preferable because they make the sound good or even better. If you want a really good passive DI-box, ask for the name of the transformer. If it is Lundahl, Haufe, Carnhill or some other big name, grab it instantly, regardless how the case looks and who sells it. Remember, neither the eyes of your interface nor the eyes of the amp are good enough to see what you are doing. But they feel it and finally you hear it.
Just a side note: if you get some hum while reamping and cannot remove it otherwise, a DI-box may also help.
Finally, feeding the amp is the easier part of reamping. To get a really good sound you need also one or two good mics and the proper recording technique. I my opinion this is more important than discussing the type of plug.
But this also exists:
http://www.reamp.com/
So there must be a reason... I think!
This is a DI-box with a potentiometer. They are proud of their transformer and if it is good, they are right. The other listed features are marketing slipslop.
---
Now, what do you say? Wouldn't it have been easier to just plug the thing in and listen to the output?
I myself use for all high quality un-balancing a passive DI-box with a Haufe transformer and I am happy with it. And high quality is relative in this case. I had so many effect boxes and synths which grabbed and spit all flavours of noises that I just take a box and don't think about the problem anymore.