Considering there are only two small caps on the env board costing less than a dollar total, I’d agree it wouldn’t hurt to replace them.
I do to every Moog I work on.
But also take a look and see if the transistors on that board are different numbers than in the normally available schematics.
Several Minis used substitute transistors, especially on the env board.
While this lends to so many Minis having varying characters, if this particular problem is annoying take a moment to verify it wasn’t a unit made with substitutes.
Also, while I’ve mentioned it before, the top horizontal row of components are the filter env, the lower row are the VCA’s env.
In the top row there should be a resistor of 4.7Kohms labeled R13.
This resistor, at least in my opinion, was a bad value choice.
A better choice would have been around 3.6K to 3.8K.
The reason I feel this particular resistor was a mistake is that the attack env can often overshoot even the highest sustain knob setting.
One can argue whether this is right, wrong, part of the “Moog sound” or whatever, but it’s contrary to how envelopes are generally accepted to work.
Normally an attack portion should meet the sustain level set exactly. Not under or overshoot.
To hear this effect, simply crank your filter emphasis so the filter self-oscillates, turn up the filter env’s sustain fully and dial in the attack and contour depths for your basic siren sound. (one that doesn’t go out of hearing range.)
If like many Minis you will hear a rise in pitch, then a sudden drop to the already maxed sustain setting.
To me, I find this annoying.
Other owners have also remarked they’re bothered by it.
You can replace R13 with a 10K trimmer and adjust the attack to perfectly meet the maximum sustain level available.
I often do this mod to Minis, but never do it to the VCA’s env as I consider this overshoot or “bump” to be part of the classic Mini sound.
I feel this is one of the secrets to the Mini’s “punch” and anyone that understands synthesis will easily understand why.
The Moog 911 modular envelopes (at least later ones) had a trimmer to adjust this attack overshoot, but the Minis don’t.
A trimmer that allows either top or side adjustment is your best bet if you decide to replace R13 with a trimmer.
Best of luck. 