I’ve gravitated towards soft stats for a while. When done well, it can serve well to aid character development, or balancing in some scenarios, or just give ideas!! When I think of soft stats, I think of anything ranging from magic power levels to game relevant weaknesses and strengths. Magic power level systems were heavily ingrained in some of my early RP forums, so I still have a soft spot for them when they’re the only thing. I also like the “nobody is special and everyone is unique” approach.
Statless is good with me too. I generally trust people not to flippantly powerplay. As long as everyone’s on the same page and explanations make sense. I can see the problems that arise doing this, it’s some sword of creative freedom vs. accepting the possible conflict that can range from simple misunderstandings to intended maliciousness. So, I can understand the shift towards soft stats or some other kind of conflict resolution system. Even on sites without stats, I remember there being dedicated judges and reviews for any in-character fights, usually consisting of a combination of members and staff. Sometimes those judgments were anonymous.
Hard stats are usually a "maybe not" for me, unless they’re automatic in some way or there’s very few stats to track. Or if they're really, really good and inspiring to me. Generally, I don’t like the extra cognitive load of having to manage more minuscule number details in forum RP, such as a full stat sheet, especially since sometimes things are hard to define as a number alone. It can be a lot of management, so I usually only make one character. I prefer when there’s options to adjust for older/more experienced characters, or to make characters weaker than the average.
Trade-offs and weaknesses in general can be fun in any system, if there's none or if there's only a select few I tend to make up my own as way of character dev. I have yet to be told by staff that I have added too many weaknesses to my characters, but I have decided to tone some down before submitting my character. This goes for strengths sometimes too, as I realize I'm underplaying my character because I don't wanna be that not-guy who tries to play an overpowered character. But people are pretty understanding, really. I don't think it's ever damning having to correct things, be it me or someone else, it's just part of the process.
If we’re talking dice rolls, or coin flips, those can work in any context, I don’t really bind the concept of them to the existence of a stat system. They’re fun.
And I’m indecisive!!! So they help me decide what actually happens, even for mundane things. Adds spontaneity atop my already-preferred spontaneity.