Anyone who doesn't believe that goats have personalities hasn't spent enough time with the right goats. I firmly believe that anyone who owns animals needs to spend time with them doing nothing every once in a while. Especially dairy goats, most of whom think you hung the moon. Some people call it "coffee time" - just sitting with a cup of coffee and watching the goats and noticing how their day is going. (I could never have actual coffee time - my goats would drink the coffee, steal the cup, and play keep-away with it as soon as the caffeine kicked in.)
While this is, objectively speaking, simply good herd management - taking the time to watch your animals and make sure everyone's happy and healthy - it's a mutually beneficial thing. Taking the time to notice the little details of their lives makes your own little details seem less pressing. It doesn't hurt that you are essentially (and in some cases literally) being fought over because they think you're the best thing since apple wafers. Some of it is plain old cupboard love, and goats like Fortune and Valencia will only stick around for treats and scratches - but others seem to be content just to lean their head on you and bask in your presence, like Talia and Solfege, and one of the most delightful feelings is taking the time to make friends with a skittish baby and seeing them realize that you're actually kinda fun to be around. You learn things about them, too - like how much Lily loves a good back rub, or how Stella doesn't like scratches but will almost fall over in bliss when you run just the tips of your fingers down her neck, or how sneaky Kel can be when she's trying to get a taste of your hair, or how Ramoth will stand disdainfully in the corner until the obnoxious ones leave before coming up to you and demanding her allocation of "kisses."
To be certain, there are plenty of goats who could care less if you ever looked at them again, and even more who think that people are evil goat-eating monsters. (Which, admittedly, is often true.) But with goats that have been hand-raised from birth, who know their names and will even leave a feeder of food to come say hello - they can't get enough attention. Fuzz therapy is free, the goats love it, and it keeps your inner egotistical maniac in check.