Select between IntSlider and Curve Control for Profile of a Noise

I want to make a switch (or otherwise select) between an IntSlider (Grey output) and a Curve Control (blue output). Both can be connected to the Profile input of a Noise component.
I can't use a Switch, as the Switch does not accept a blue connection into it's green inputs. Moreover, the green output of a Switch cannot go into the Profile (blue) input of the Noise. How can I solve this?

I found the Curve Switch. It seems very handy, but unfortunately I cannot solve my little problem with it. For illustration of what I want to do, I attach a little snippet.
This is what the snippet should do, but the switch should be located before the Noise, so I don't need 2 identical Noise components.
But I cannot seem to put the switch in front of the Noise and switch between the grey IntSlider and the blue Curves and feed the result into the Profile input of the Noise.

By the way, is it not possible to make decent notes in the editor? I have made a clumsy attempt with the names of 3 color components, not very elegant

Example for Rachel.ffxml

Thanks Rachel, I understand your solution and have thought of that myself as well. But it takes twice the number of noise components (which is all 7 in my case, so 14) which also needs an extra switch (there I can use your solution to my previous question

It would be nice if in future there could be a switch that just takes any input and outputs the selected input, no matter what format.

The example you send me back has another nice thing I discovered. By connecting the IntSlider to the Profile input of a Noise with remapping 'on', the selected profile name is visible in the Remap box. Neat. I was just wondering this morning, how nice it would be, if the components would show their input values (not with a map of course, but simple values). That makes it easier to understand a screenshot of a filter and also debugging.

I appreciate your help and patience.

Cheers, Beat

I understand that the programming of a program like this needs to have some restrictions. Otherwise it will get extremely complicated to program and to work with.
I totally see that not every input can except any sort of data (output from another component).
But as the Profile input of a Noise can accept grey inputs (sliders etc.) as well as blue inputs (curves), it would have been nice to have a switch between the two. It's not really bad there isn't any . Through this question I have learned about the curves switch from you.
It's good to know though, that filters with error flags will not be accepted into the Filter catalogue.