Yes, monitors are far easier to breed indoors, unless you live where they occur.
As mentioned, size of the cage is only important if the cage allows what is needed by the monitor. And in most cases, rooms in housed do not supply much.
Monitors can be bred in very small cages, but you must make the decisions for the monitor, as in small cages, they cannot do to much. In larger cages, you can offer a variety of conditions and temps and let the monitor pick as needed. But you must include those elements for the monitor to choose.
The biggest problem with rooms is, they are very hard to support proper nesting. And with large monitors, that is not an easy task no matter where they are, indoors or out.
In most cases, it means hundreds of pounds of substrate. Lets see, I use about 250 pds of dirt for my ackies. So what would a nile need? Floors in houses are not designed for that kind of weight and with that amount of moisture. In otherwords, it will ruin your floor and most likely your house.
Moisture, is the devil for houses and moisture is needed for montiors. A huge problem. Of course there are many ways to work this out, its just not easy or cheap.
Then all that leads to the previous post, what are you doing to do with the offspring. Now consider if you do a good job, the female will indeed lay more then one clutch, up to five or six. So that number already givin is not anywhere near what could happen if your an attentive keeper. Indeed, its a problem.
As mentioned, sorta, most people that have bred the cheaply imported species, get fedup with the customer base. They want your babies that you worked so hard for, but they want them for $19.95 each, delivered. hahahahahahahahahahaha Of course there are a few who respect what you have done and what a captive hatched monitor is worth, but that few will not amount to a single successful clutch.
Of course if your bull headed, you can go on and attempt this, but at least you are now aware of the risks. Cheers