To answer your question, Yes, I would indeed think a 1:9 twist .223 would shoot 55gr bullets well. However, it depends on what "well" means.
I have a Howa 1500 1:9 twist. It seems to like 69gr moly coated Sierra Match Kings. It will nearly always shoot less than 1/2 MOA at 100 yards, often in the "threes" and from time to time in the "twos".
I had hopes that it would shoot lighter bullets too, but lighter bullets don't do as well. For example, 52gr Sierra Match Kings usually shoot sub 1 MOA but never get below 1/2 MOA. The 55gr Blitz Kings are a bit better, always shooting below 1 MOA but I can't count them getting below 1/2 on a given day even though they do so on occasion.
To put it in perspective, I'm willing to lay five bucks on the bench and you are free it pick it up if I can't shoot 1/2 MOA with the 69gr SMKs. I am NOT willing to do that for the 55gr Blitz Kings. I find that something of a disappointment because I had hopes that my gun would shoot sub 1/2 MOA with 55gr bullets. It won't do so on a regular basis even though my best five shot 55gr group is a .272 MOA.
On the other hand, if 1 MOA is all you're looking for, then I would expect a good 1:9 barrel should do the job.