By all means do them and don't believe everything you read in the Lodestone forums. The Trust system you can't use until you reach Shadowbringers expansion. You just need to expect that most players have done the earlier ARR stuff so much that they can and will blow through them. Heavensward will be a bit better as you begin to see the dungeon fights/raids evolve. Most new players always announce "My first time" in party chat at the beginning, so that more experienced players can adjust and help guide you. Each boss fight I find it better to ask "Is there anything I should know about this boss"? Usually a person will announce what to look out for if there is any special mechanic or if the boss is a straight burn. I say "most" players because it doesn't mean you'll never run into a jackass or two.

I do think you'll find in the earlier fights, the lesson to learn is how to dance around aoe's and dealing with adds as a dps. For tanks and healers it's a different lesson. As you get more and more of your skills learn your rotation for the job you choose. If you're unsure what to do, follow the crowd and try understand why you position yourself where you do for each mechanic. The best way to learn is hands on and practice. Never doing them is not knowing and not beneficial to you.