Enrichment is not being in an environment where you need to defend or attack other animals. Taking her out for 1-2 hours under close supervision is fine so that she can stretch her legs and enjoy tongue tasting the furniture. Exposing her to threats from other animals, unsupervised at that, in captivity where it could be prevented but is rather chosen by the keeper is frankly bad husbandry to say the least.
One of most keeper's (including my own) guiding principles is to reduce the stress and suffering of every animal within our collection that we can. If we take on breeding animals and we get a snake that has to be put down, we have to be prepared to euthanize in the most effective way, even if it is something as hard to do as pithing. If we have feeders, we treat them as humane as possible to relieve them of stress up until the moment they are fed. If we have animals which are stressed because of incorrect husbandry, we fix it, even if it means purchasing hundreds of dollars worth of equipment to achieve those parameters.
Your example is literally like me throwing a 500g ball python in with my 3ft savannah monitor just because I can do it so the ball python gets some "enrichment". Except, if I'm understanding right, it is also unsupervised which makes it worse.
Instead of letting them free roam, why not target train them with food. Get them tong trained and then make them chase you around the house with a feeder at the end of the tongs. Works for my savannah monitor, which is a even more intelligent species then beardeds and requires higher levels of enrichment. I can get him doing backflips when he is jumping for feeders. We also let our bearded roam the house but it is for 1-2 hours and we do not have any predators in the house at all. If we did have cats or a dog that showed too much interest, we would let the bearded walk in a locked room, or lock the mammals up and let the bearded roam.