I'm trying really hard to remember if in White Night he got invited in to the same Ordo Lebes member's residence multiple times. Like... if they specified him looking for an invitation more than once. I really wanna say the answer is yes.
I'm also thinking about the number of times that Harry has been inside the Raith Household. I'd have to go through and reread the books to be certain, but I feel very strongly that in Turn Coat he made certain to receive an invitation even though he'd been previously invited. Which would mean that we have a definitive answer on that one.
I want to say I remember that the first time he had to swear an oath on his power to enter the Ordo Lebes apartment. The second time he busted in, leaving part of his power at the door hoping to catch the perp in the act. Dunno about the Raith household. I think he's only actually been in the house twice. Once in Blood Rites in which he was invited in and once again in Turn Coat where Harry and Captain Luccio entered in their capacity as Wardens (which would probably be an invite before Shagnasty showed up). The events of Blood Rites and White Night in the Deeps probably doesn't count because it's a cave on the property and not the house proper (besides, the second time he was met just past the gate by Lara who knew what he was going to do. She'd want him at full power since Harry was essentially acting as her catspaw vs the other White Court Houses).
I wouldn't imagine one of the many homes the Raith's have would have much of a threshold. Sure, some of them live there, but they seem transient enough until Lara takes it up as her base of power.