No disrespect intended, but no, not really.
For point of aim, you want a shotgun to pattern so that your shot is high, for a game gun you want 60% to 65% of your pattern above point of aim for rising shots. When you have a perfect double rifle with front and rear sights and you swap it out for a shotgun barrel with only a front bead, you're looking down the bead and it should cause you to shoot high slightly, which is what you want.
As for fit and balance overall, it will be like carrying a pig on a shovel because a game gun should be around 6.5lbs and such a double rifle with shotgun barrels will probably be 7.5lbs, so its not going to be a nice british double shotgun in its mannerisms. Nonetheless, most modern shotguns are overweight turds that are overbuilt to avoid warranty issues, so this configuration on a heym would have that same feel.
If I were to get a set of barrels made, I'd make sure to mail them the chokes to be threaded and I'd positively get a scope mount installed on the barrels too. Thus, I'd be able to put screw in rifled chokes in the gun and have a decent 80-100 yard slug rifle to use when not acting as a double rifle or scatter gun.
When you're spending $20,000-$50,000 on a rifle that gets shot maybe 10-20 rounds a year, anything you can add to it to provide more regularly utility is a good investment, especially if it helps you gain confidence in the weapon.