12x60W= 780W, which is 6.5A. A 1800W hair dryer (some are 1950-2000W) is 15A. That's 21.5A on a circuit, *IF* the HO doesnt lamp the vanities with 75 or100W bulbs. If s/he does the latter, that's 10A (12 100W bulbs) + fart fans (minimal load) + recessed lights (again, minimal load) + hairdryer (1800+W; 15A). That's 25A+ on a 15 or 20A breaker (assuming nothing on the upstairs bathrooms). I would hope the breaker would trip in <3 hours with that load. Hair dryers can run for 20min or more...
Now, if they use 40W incandescent (or 25W) or fluorescent or LED, there wont likely be a problem. But on a three-quarter million dollar home, I would prefer there be no chance of problems.