In important meetings, I won't use chat. I personally have trouble taking people seriously who only want to communicate purely over chat. Sure, chat is great for collaborating. It allows introverted people to be able to focus and then address the other party when he/she gets to a stopping point. When I'm programming, chat is awesome and is my preferred communication method. But for extended back and forth discussions or negotiations, chat, at least in my experience, has a lot of negatives for things that involve giving the other party 100% of your attention.
To rely solely on chat for everything means you lose out on the ability to have a real conversation, one that may involve debate, body language, being aware of the emotional state of the other party, compromise, and the human factor. You also lose out in situations where there exists great complexity and where focusing on the person is extremely important.
People chatting also get distracted by people who are physically in the room and who also crave attention. I've spent way too many 10 minute periods of infuriating silence waiting for someone to respond to an important chat because that person refused to take a call yet also stepped away from our active conversation to answer another question. This sort of thing rarely happens to me on a video call as other people are less likely to interrupt. If you work by yourself this may not be an issue, but it may be an issue for the other party.
While there are people who say you can choose your clients, and that's true, there are also people who won't do business with you if they can't at least meet with you once a week, either face to face or on a video call. If I'm paying you to do something complicated, I want to see your face when I explain it -- or at least hear the tone of your voice -- so that I know if you're confused or not. If you don't get what I'm asking you to do, I don't want to find out after you've already done all the work. :)
The important thing to remember is that different forms of communication serve different purposes. While chat works well for semi-real time collaboration where focus on the task is important, phone calls and face-to-face meetings work better when debating or deciding how to approach a task or negotiating the terms of a contract. Email tends to work well for communications that aren't time-sensitive or that involve a lot of back and forth discussion. In short, use the communication tool that's appropriate for the task at hand and don't try to fit everything into one envelope.
Do you think that I can find long-term partners by avoiding skype talks?
You can. But you're limiting yourself. It may increase the chances of you making a mistake due to a misunderstanding, which means the client may no longer want to do business with you. It may create distrust, since knowledge work oftentimes involves building and maintaining relationships. It may mean you're more likely to be blamed for mistakes, since it's arguably easier to blame faceless entities for problems rather than the friendly colleagues who you eat lunch with. It's not impossible, and you certainly can do well just by chatting, but you'll do better if you expand your communication skills! Hope this helps!