It is reasonable to expect that a maintenance facility who are familiar with the aircraft type involved, would have the experience to detect any troublesome airframe condition before it becomes dangerous. Each type has it's unique things to look for. For example, Cessna 150/150 are known to be weak in the inboard forward ribs of the H stab, by which the H stab is bolted to the fuselage. These tend to crack, and the tail assembly can become loose, and certainly unsafe. A keen walkaround will turn this up.
Generally these types are so well experienced that most weak areas have long since been found, and publicised for maintainers. One of the plusses of an older type!
These aircraft will generally show abuse by outwardly visible wrinkled skins and smoking rivets before any unsafe internal condition exsists. Engine mounts and landing gear mounts are an exception to this rule...
Be reassured that the aircraft design includes a capacity to exceed stated limitations by a required margin with some safety, if cautiously done. This does not consitute permission to do this, but simply a reassurance. I am required to fly to 1.1 of Vne during some flight testing. Smooth air, and gentle control inputs are vital at these speeds!
Treat the planes you fly as though you own them, and your family will fly in them one day. Both you, and the plane will be better off!
Pilot DAR