PN,
Not quite correct. For fast jets, you must touch down at destination with sufficient fuel to get to the alternate, fly an approach appropriate to the weather and then touch down at the alternate with a specified minimum fuel quantity (determined by unusable fuel, gauging accuracy, c.g. limits etc and probably one visual circuit). If the weather at the diversion is colour state 'white' or better (1500 ft cloudbase, 5000 m vis) then an 'appropriate approach' will be a visual join, and if 'green' will invariably be an instrument approach. The approach requirements at destination will also be weather and approach aid dependent but if radar vectoring to an instrument approach is available then you would not plan to recover for a procedural approach.