I am the sort "who books package holidays" sometimes because in the recent past is has been as cheap and much more convenient to book a package that includes flights, transfers and accommodation with the tour operator.
It doesn't mean that we go to all inclusive resorts and do nothing.
We have been to Rome, Sicily, Kos and Madeira in recent years with tour operators, and done our own thing - exploring, sightseeing, eating out etc when there.
IMO tour operators have upped their game in recent years to take all the hassle out of organsing the different elements of the holiday, yet still in keeping with the type of holiday the independent traveller enjoys.
When our journey home from Madeira went very badly wrong we were very glad that we weren't travelling with Ryanair. A bumble bee got stuck in the airspeed indicator www.liverpoolecho.co.uk/news/liverpool-news/plane-circled-over-merseyside-after-16294050 which resulted in the plane arriving too late for our return flight.
The captain got up onto a seat at the departure gate and told us that he had run out of flying hours, and that Tui would bus us to hotels and pay for an overnight stay, then fly us back home the next day, which they duly did.
I was very impressed with the way that Tui dealt with this.