What you have here are examples of expressions of "pro-social" expressions.
In the context of your examples:
Answer #1, what the person is really saying
Yes, I'm good at using technology.
What's "non-social" about it?
"I'm good at using technology" can be interpreted as boastful, depending on the listener.
"Well, I wouldn't call myself a
computer buff (if anyone asked me) because I have so much to learn... (unspoken brag: but in reality, I'm really good) " -> (Generally) "Well, I wouldn't call myself
an expert (if anyone asked me)... (unspoken brag: but in reality, I'm really good)
This example is an example of a "humble brag", so that the speaker doesn't seem overtly full of himself.
Side note: another example of a "pro-social" expression
The "pro-social" expression "I don't want to/I don't mean to..., but..." is used to make the speaker seem more considerate to the listener before he/she reveals something that's difficult to hear. Example:
I don't mean/want to be rude, but can you please speak more quietly?