That's the problem.
Jedi are supposed to practice an all-encompassing "love." You love everyone equally, no attachment to any one person. It's a detached, universal type of love. Obi-Wan declaring that he loved Anakin is against the Jedi Code as he's admitting that he loved him like a brother, ie something more than the impersonal love the Jedi preach, an attachment. That is forbidden.
There's actually a great Clone Wars episode where Ahsoka and another Padawan get trapped on Genosis and we see the difference between Anakin and the other Padawan's master. Anakin is gravely concerned about Ahsoka and is ready to do anything to save her, meanwhile the other master is more detached and willing to accept if their Padawan died. In the end, Anakin's concern is what helps save them yet the other master criticizes Anakin's reaction as too emotional as he was unwilling to let go.
Yeah, it was great because it proved how Anakin was honestly a pretty terrible Jedi. The Jedi believed wholly in the will of the Force, so much so that they wouldn't lift a finger to help people in need because they believed the Force would provide the answer or solution. They were extremely hands off.
As you say, the Jedi didn't even rescue each other. In one of the earliest episodes, Plo Koon is stuck in an escape pod with no chance of survival and the Jedi Council forbade Anakin and Ahsoka from trying to save him. Of course they totally ignored their orders, but the Jedi Council disliked how often Anakin refused to follow their commands.
In another storyline, Ahsoka is kidnapped by Trandoshans so they can hunt her for sport and the Jedi Council says "the Force will guide her home" or some such nonsense. Anakin ignored his orders to maintain his position in a blockade to go find her and was pretty close to tearing the galaxy apart to do it, but she rescued herself and Anakin was extremely sorry he didn't save her. The other Jedi still went on about how the Force guided her to safety but Ahsoka credited her survival to the lessons Anakin taught her.
I thought that was pretty sweet.