I'm reminded of the 'wag more bark less' bumper stickers. That's a good tip. In being empathetic you're not doing anything specific, still less solving anything. You are projecting 'I'm listening I'm listening I'm here wag wag wag' like the bumper sticker. It stops being about what you're going to do, or what you're expected to do, and it's about telegraphing your willingness to perceive. You're wagging up a storm: you are indicating attention, responsiveness. In a sense it's like active waiting?
Even to ask the question signifies more responsiveness than 'I will make a solution as quickly as possible and then turn my back on you as soon as I can'.
It's also helpful to be honest with yourself about where you're at. I'm fundamentally a rather isolated, selfish person. I direct that towards generous open source software and helping to guide others (when it's convenient) and so I come off, in some contexts, as terribly empathetic.
But part of that is avoiding a selfish-failure-mode: I will make an effort to get as little as possible out of things and to look for what I'm putting into the situation, focus on that. It's focusing on the hacking side rather than the payment, and if I can be strategically generous enough it makes no sense to get mad at me for not giving MORE, and so I can interact on a level that 'reads' as extremely empathetic and kindly.
In fact, I have just managed my situation to where I am not giving more than I can comfortably provide… and since I'm not stressing out about it or gauging whether I'm being given back 'enough', it feels to others like I'm just hanging out being attentive and helpful. I'm just pursuing my own interests, but if you share them it's easy to think that I'm doing mighty nice things 'for you'.
Lack of pressure to get an interactional outcome plays a role, I think.