Well, I think you COULD go to court and push a case that proves that theoretical OM is actually a lover and not just a tenant.
That being said - is this really the hill you want to die on?
I'll tell you what it's like from MY side. I have a similar clause in my divorce agreement. I mommy-tracked my career for 2 decades while supporting my H in his pursuit of excellence and success. The alimony I receive helps make up some of the difference between my earning power now, and what my earning power might have been if MY career had been the family priority. It is essential to me being able to buy my own home, pay for my share of kids' college expenses, and save for retirement.
Since my divorce I have dated a couple of men who might (theoretically) have been in a position where staying at my house for a few months would have been very helpful to them. But it's not something I can even consider offering.
Even non-date male friends who might make great tenants, I wouldn't consider - because my H is just the type to try to make something out of it, even if there's nothing going on.
Meanwhile, my H is free to live with his girlfriend, which he has for the last couple of years.
