I'm really struggling to put into words my thoughts on this, but the starting point is, what do you mean by complexity? This is going to mean different things to different people and can muddy the water in getting across what you want. You then drop the word 'depth'. Is this the same as complexity? What makes a job deep? etc.
Just looking at the Bard post you made, from the bullet points, had making DoTs/songs 45 seconds really increased complexity/depth as you see it? The choice between Straight Shot/Refulgent was probably Refulgent 90% of the time with that last 10% being when you get close to the end of the Straight Shot buff then double Repertoire stacks is out of your control anyway, so you just deal with what you are dealt. You see, to me, none of that strikes me as 'complexity', it is just you wanting to move through the rotation quicker and press more buttons.
If I were to now say that EW Monk was more complex than HW Monk, how would you react? Whilst EW Monk doesn't have many positionals, Touch of Death or GL upkeep, it does have Masterful Blitz as a system now, which is something HW Monk doesn't have. Also, let's not pretend GL was any show of skill, you didn't need to think about it when you had full uptime and, when you did have to disengage for longer periods of time, it was luck as to whether GL lasted long enough for you to refresh it when you re-engaged, even when taking into account Form Shift. Why do you think they kept adding ways to try and upkeep it every expansion after all.
How about Dragoon? Blood of the Dragon was a punishing mechanic in HW, made easier coming into SB, did that add complexity? Or was it more of a hinderance to the gameplay? How about HW Enochian? Similar concept to Blood of the Dragon, but even more punishing. We know the community at large didn't like these 2 as they were much easier to manage in SB.
I'm hoping this is getting across what I am trying to articulate. Just saying 'complexity' doesn't help. What exactly are you after and what is it specifically about previous jobs that you do like, what about things you didn't like. Talk about what you enjoyed about your job from the past, what you didn't like, what you think could be improved but the important thing is say why you feel the way you do. Going back to your Bard example I am going to talk about the points again.
Straight Shot buff, you said, it is a 30 second crit rate buff, ok. How about coming from the angle of, it is a crit buff that synergises with the core idea behind Bard, that being getting benefits from your Songs via the crits from the DoTs. We have now talked about why you want to keep this buff up beyond just having a buff to upkeep.
30 second DoT duration, which you said required more maintenance. I mean, all you are doing is pressing Iron Jaws every 30 seconds, which aligns with your song windows. Saying more maintenance doesn't really say much either because, at the extreme, pressing it every other GCD is 'more maintenance' by what you have provided. It makes no sense.
30 second song durations, faster cycling. I know where you are coming from, Army's Paeon is an unexciting period and Mage's Ballard and Wanderer's Minuet also do not feel as good without the double repertoire procs I think the question here then does bring out that last bullet point. Would double repertoire procs help in alleviating this boredom from the 45 seconds songs? Would you want songs to be shorter as well? Would you want Army's Paeon to change to have another effect? These are all things that you can talk about when speaking of the feel of the job.
The choice with the Straighter Shot proc. Was it fine as it was, could there be something to make it better? I know many Bards who were annoyed when Straighter Shot didn't proc in the opener, meaning Barrage had to be used on Empyreal Arrow. Is this something you would want addressed? etc.
By properly stating why you liked or disliked certain aspects, it can influence the devs more in the direction you might want jobs to go in, especially if they see people agreeing with your ideas. I have said this several times in the past, but just posting some vague notion of what you want improved, without explaining exactly what the issues are, doesn't help.