If no one is home during the day you will still need central heating as starting a log fire after work in a cold house isn’t nice.
I had a log burner in my old house and have a gas fire now. Log burner is more homley and warmer, but also more faff, cleaning it, chopping wood, kindling and so on. Also you need to feed it every 1.5 to 2 hrs, so during the day on weekends will have to be around to do that.
I would probably go gas, but as you have a free supply of logs then that could sway it, although with gas central heating.