Do you trust your remote or distributed workers/colleagues?

The inability to trust in these situations is more a 'it's me, not you' thing. If as a manager you cannot trust your people to work without supervision then

a) you have built the wrong team with the wrong people. This is also typically a 'manager' who likes to tell people what to do.

b) you lack the confidence that you are in control i.e. you do not believe people will follow your instructions just by telling them to, they must be in a position where you can check up on them.

c) your own work ethic might be questionable so you are thinking more about what you would be doing and not what they will.

I personally never cared where or when people worked, as long as the quality of the work produced is up to standard with respect to time and content. But this is because I've worked remotely for most of my life and I understands the discipline required to make it work.

I have seen alot of people take advantage of working from home. They are rarely online and do not seem to be productive.
Then there are many that get much more done when working from home.
Of course the same can be said about people who work in an office.
It comes down to it you trust your employees in general. Do they meet their deliverables? Are they available for meetings? Do they respond to your emails in a timely manner?
If you can't trust your employees, then that is a bigger issue no matter where they work.

I see advantages of working from home. Better performance and increase in productivity, obviously demands commitment and responsibility although i think is reachable if goals and deadlines are pre-agreed between the worker and the management.

Other pros, savings for the worker and for the company, money and time, related to travelling by itself stressful.
Less distractions. More time for learning and improving skills. I believe it's better to have the worker satisfied at home than dissatisfied at work.
Besides trust, discipline is other trait to work on

Yes, to add to all the comments, I would like to share my experience with distributed teams. Half my team was at a vendor location overseas and half of them were local. We didn't have video chatting capability with them due to security reasons etc. We had to build trust with them on the phone. We established working agreements so that we know what to expect from each other in terms of communication and collaboration. It took a while for trust to be established. However, over time it developed and we are now the highest performing team. Eventually, we did get video and it has only gotten better.