I agree it's safe, but I don't think it's necessary, and since you just plucked some things, you may even be teetering with safe.
The next thing that happens with Mugo is the Bud reinforcement in fall. Until then they are just gathering energy so cutting now is Only losing energy. Unless you are absolutely desperate to have light to the interior, but wire and lesser needle removal can accomplish the same, with less energy loss.
Regardless of the years into the back branches, and other "guidelines" in the books, I would only feel safe cutting back to interior buds, when they are pushing candles in spring. That's when you are "out of the woods", if you will. Of course, cutting everything back to wee candles can put you right back in the woods, if you cut now, with no sign reading, it can just die. In and out of the woods is safer!
Here's where I'd be.
Keep the nicely angled ones in green.
Cut the red stuff as close to before the bud reinforcement as possible. This gathers all the energy and reinforces the buds you want.
Leave the yellow drawing sap and life until your greens are stable enough to be cut back to.
View attachment 309280
Mugo tips seem to work the same as Spruce, one bud is alive, two or three is healthy, 5 is vigorous.
The trouble is we don't see what it will be till bud reinforcement. Watch for bud reinforcement! We had an early winter, my mugos knew it, I didn't get as much bud reinforcement last fall, but got more action and division in spring.
Sorce