Attached is the 5F4 schematic. Would you mind marking where a mid control has been placed. Also, if there is a master volume, how is if implemented.
Modding this circuit is not very common and I have spent a lot of time with them. I found if you change anything in this circuit, the change is significant and re-voices the amp.
I do not think ripping it apart is a bad idea necessarily, but I think what you are hearing is not a Super 5f4. As a matter of fact, I am sure it is not. It is common to replace a 6.8K resistor from lug 3 of the Bass pot to ground with a mid control. But this is on a Blackface and some Brownface amps.
A 5F4 has 2, 1meg Volume Audio pots, one bright and a 1 meg linear on treble and the same on bass. The reason I am even mentioning this is I think you dig the tone you have and I do not think it is a 5F4.
Are all the pots 1 meg? Take a close look at this schematic and consider what would happen if you lifted the ground on the bass pot and added a mid. Also, what is you mid pot value. It is possible what is being called a mid pot is actually a raw control.
Maybe HBP will see this. He knows this circuit very well and may have heard of someone adding a mid as I know he really prefers amps with mid controls.
The Super intentionally was mid scooped. An easy way to get more clean volume is to remove mids. This same idea proceeded further when higher power speakers became available. The Super shared the same Output Transformer as the Pro and Bandmaster and would saturate fairly easily. This was intentional and the Pro and Bandmaster passed a lot more mids than the Super, so the Super was much cleaner in comparison.
When someone mentions having that Tweed overdriven tone, normally that is a combination of Tubes, OT Saturation, Speaker breakup and a thinner baffle connected top and bottom only. Both the Pro and Bandmaster were built this way. The Super is different. The Baffle was thicker and had 2, 10 inch speakers more rigid so the cabinet contributed less to the loose and wild sound of the Pro or Bandmaster.
This made the amp a lot cleaner. So much so that is someone is wanting a Tweed tone, I would not recommend the 5F4. Guess what my favorite Tweed amp is? I like clean.
As Sluckey mentioned, moving the choke may not make any sonic differences, but there is a reason a larger one was used and we know if cost more to manufacture so someone thought it was worth the additional costs to filter the plates. So the proper fix would be to get the correct one.
You might want to see if you can find a real 5f4 to play simply to make sure you like it before building one. There are a lot os samples on youtube as well. Here is one:
https://www.youtube.com/watch?v=hqtL41DPXnA