I have been fortunate to have done business travel to over 40 states, and Canada, and to have accompanied J on business travel to England, Italy and Greece. Not everyplace I have gone was a place I wanted to go, a couple of them I will gladly never go back to (though the host and audience in Fayetteville North Carolina were warm, welcoming, wonderful, the location had few redeeming qualities.)
I was asked to do an hour in New Hampshire one fall. I hadn't been there. I immediately said yes, you buy the airline ticket and pay the hotel bill and I will be there. When I started planning, I added a couple of days to the trip, renting a car at my own expense, adding hotels for my pleasure. I drove into Vermont and spent the night, then another day to drive through Vermont and New Hampshire, rode the cog-railway to the top of Mt Washington. I was on the agenda early in the day, with a late afternoon flight home. I had time to drive to Maine for lunch on my way.
That trip took me places, to see and do things I had never done before. I fulfilled the work mission, and added on a little to widen my life's experience.
I know an academic, who teaches here in the USA. Every couple of years there is a conference in Rome. He brags about teaching on Thursday, taking an overnight flight to Rome, attending the conference all day on Friday and Saturday and flying back to the USA on Sunday, so he can teach his Monday classes. Honestly, he is crazy in more ways than one.
When you get a chance to travel for work, add to it. I had a consulting contract with a national aging organization for a few years. The last couple of years they decided that business travel couldn't be combined with personal travel, no adding a day on, you need to fly in at the last minute and take the first flight out when the work was done. I didn't really enjoy that last season.