Yep, tourers can be very capable on tracks and paths. Took my '69 Hetchins to Cape Wrath last year - that's 25 miles on rough tracks - and it coped fine even with the skinny 28mm tyres. It has some very strong wheels with 36/40 spokes, which helps.
Would disagree with the mudguards comment though. Best without them. They can be a liability if anything gets caught in them. My brother ended up with a broken collarbone when a piece of wood caught in the mudguard and he went straight over the handlebars. Also, they clog up with mud too easily.
1996 TJ Flying Gate, 1989 Concorde Aquila, 1969 curly Hetchins Magnum Bonum, 1956 Bates BAR, 1955 Gillott, 1955 Claud Butler Avant Coureur Special, 1953 Ernie Clements Special Course, 1950 Granby, 1948 FH Grubb lugless, 1938 WJ Hood Palace Special