We would need a high SHBG person to try.
Anecdotally, I can control my SHBG up or down using fasting, low carb or adding some higher carb meals. Less frequent, higher dose T injections should also help.
This effect is well documented in people doing keto, low carb or fasting (i.e. SHBG goes up), no "Using a mouse model and human liver cell cultures" (as in your link), but real people.
The reverse is also documented to be true: Increase carbs and your SHBG will go down. This is a documented fact in humans, not speculation from a single study in mice.
Will this help someone with a naturally high SHBG (not high because of keto, fasting, etc.)?
If I was one of those people, I would definitely give this idea a shot. Adding some more rice, potatoes or oats, and measuring SHBG before vs. after would indicate if such an approach works for a particular individual.
If somebody is unwilling to mess with their diet, increasing the T dose could be a valid alternative approach (i.e. increase T dosage until free T looks ok / the person feels good).
Either way, there is hope