In his younger years, Hamilton might have been quick to agree with Black's sentiments. He'd learned, after a series of unfortunate events in his childhood, that you really could only rely on yourself. That had changed, with New York, with the war, everything that came afterwards. He still trusted himself before all others, but he knew when it was time to delegate.
"Well. Perhaps, but unless they expect you to sign a contract before they help, they don't have a..." he trailed off, almost using a bit of an uncouth turn of phrase and then thinking better of it. "Don't have a case," he corrected. It got the point across well enough.
Alexander wasn't used to these magical sorts and their quick dispatch yet, even though he had been seeing it with his own eyes since the very day he had arrived. He'd have expected a doctor on call to take at least an hour, but they were in a different world now.
When the door opened, Remus gave the younger Arcturus a smile. "Hello. Yes, fine. I remembered, from the garden party, so it wasn't a trouble to quickly apparate," he explained, following him through the house. He was completely unconcerned about Arcturus's appearance, or the tea things, or the muggle guests.
"Hi, good afternoon," he greeted Alexander simply, and then turned his attention to the boy on the sofa. Philip took this as his cue to get out of the way, and he moved to sit by his father while Lupin worked.
"Hi, Sirius. I hear you've had a bit of an accident," Remus said very calmly. "Now, you might not remember me, because I have aged terribly since I last saw you, but you might remember the fireworks from your uncles party?" he asked. "Well, that was me." It was important to make sure the child felt at ease before he attempted any intervention, especially when it was sure to cause at least a little pain in the process.