What other circumstances? Lindsay Hunter ate Eddie up that series with his ball pressure. He also can't defend super quick PGs like Rondo/Parker/etc. But those are the only two things I can think of.
Let's add 3 more.
He can't guard bigger guards, like Billups and ones that post up. If his shot is not falling, he's useless since he provides little else as a PG. When paired up with small PG/SG's, he can be taken advantage of.
And no, it wasn't just Lindsay Hunter. With anyone they had on the court, they would half court press House, messing up our whole offense. If I remember correctly, they used Hamilton in that role too.
So no, House is not good enough as the primary back-up PG. He needs to be surrounded by other ball handlers (Daniels) or another PG.
I'm not arguing about us being good enough in the guard position right now, particularly with Daniels in here, I'm just pointing out the flawed logic used with your Lakers' example to support House as a primary backup PG.