EasyStreet,
When it comes to bits, the bottom line, IMHO, is use the one that is most comfortable for your horse. If the mouth is comfy, the horse will be relaxed and will take contact with both reins equally. I personally think (flame suit on!) that many riders place too much emphasis on the type of bit and not enough on whether a bit is appropriate for the horse’s mouth structure, personality, etc.
Case in point - my hot 20-year old mare. Put anything jointed in her mouth and you have a horse that is 99% focused on her mouth and 1% on the rider! She will chew, pull, roll her tongue back, invert, rush. Give her a mullen mouth (I use a stainless steel curved mouthpiece eggbutt) and you have a completely different horse. Her mouth is quiet, she reaches into the contact evenly, she is prompt off the aids, soft, relaxed.
Go with what works and do not worry about what other people think!