If your boat is big enough to carry a hard dinghy on deck I would always go for that rather than an inflatable. They are easier to row, especially in a strong breeze and as long as they have sufficient buoyancy are just as safe. We keep the Avon in a locker as a back up; if there are several people on board it's good to have two availible so no-one gets stranded on board in an anchorage.
PS - ours has a sailing rig so it is great for pottering about and can explore creeks etc where you can't go with the big boat as well as being just plain fun!
I have often felt that some of the most fun I have is tinkering around in the tender with the kids at an anchorage. When the powers on high give me break with the lottery ( note from on high : "Give Me a break, at least buy a ticket .." ) I thought that I would commission a boat where an essential design element would be to provide for a sailing (varnished clinker) dinghy on deck.
While I'm on the subject I often feel the architects design a hull and then see how they can fill it. If they did it the other way round ie design the accommodation and special features eg how can I helm in a gale without getting soaked and have a view of of my instruments, how can I sit comfortably in the saloon and have a feeling of space etc etc and only then draw the hull round the essential features.
I will be sad the day my second hand redstart (black) gives up the ghost. No leaks (well, not overnight) a nice seat in the stern and you can spot it a mile off amongst all those grey and white ones. And being black means that anyone trying to nick it has their jeans instantly security marked. All for a hundred quid at Beaulieu in 1988.
I've actually got such a boat. We carry a 9 foot varnished clinker lugsail-fitted stem dinghy, upside down over the skylight on the coachroof.
In this position, it does two things when not in use as a tender - it allows the skylight to remain open for ventilation when on the mooring (actually, this creates a Howling Draught!) and its bilge runners, which are made as handrails, make excellent handholds going forward to the mast, coming at just the right height if you are standing (if crawling you use the handrails on the coachroof!)
To launch and stow it we use the staysail halyard and a handy billy hooked into an eye seized to the running backstays - a trick described by Claud Worth in 1911.