Speaking from my experience as an ex-RAF QFI, I can't agree that a go-around is always the best recovery from a messed-up landing. Each case is different and sometimes it IS better to keep it on the ground.
Two examples of when attempting a go-around was definitely the wrong thing to do.
First one happened about 11 years back at RAF Cosford. A Bulldog student fouled up his landing and bounced heavily. He opened the throttle and tried to go around. Unfortunately his bounce had caused nose oleo mounting damage, distorting the leg a couple of inches upwards. Unfortunately, the oil pump for the constant speed unit sits just above the top of the oleo on these Lycoming-engined aircraft and it also sustained damage by being hit by the top of the oleo. The CSU could no longer work and so the prop went fully coarse as it was designed to do. The engine therefore couldn't pull many revs and so the aircraft wouldn't climb. Instead, he floated over the airfield. The crash happened just outside the boundary, very fortunately the student wasn't badly injured.
This is quite likely to happen again as many of these aircraft are still in private use.
A second incident happened at Netherthorpe last summer. The student got it all out of shape on landing and damaged the nose oleo and nosewheel steering on his C152 (how many times have you heard that before, it's not difficult to do). In his attempt to go-around, he lost control of the aircraft whereupon it veered to the right and hit another aircraft in the parking area, causing severe prop damage to the wing. It very narrowly missed the two pilots just vacating it and finished up in the spectator enclosure. Another VERY lucky escape for all concerned.
An important rider must be that if any aircraft damage is likely or suspected, the best safe action is to land the aircraft, even at the risk of overrunning the landing area.