I doubt whether lighting of any kind on a jib in fog or low cloud would have prevented this tragedy. The aircraft was moving. The crane was fixed and NOTAM'd. The aircraft was in the wrong place, not the crane. If the crane was in fog no lighting would have helped.
ICAO Annex 14 Chaper 6
CHAPTER 6. VISUAL AIDS FOR DENOTING OBSTACLES
6.1 Objects to be marked and/or lighted
Note.C The marking and/or lighting of obstacles is intended to reduce hazards to aircraft by indicating the presence
of the obstacles. It does not necessarily reduce operating limitations which may be imposed by an obstacle.
6.2 Marking of objects
General
6.2.1 All fixed objects to be marked shall, whenever practicable, be coloured, but if this is not practicable, markers
or flags shall be displayed on or above them, except that objects that are sufficiently conspicuous by their shape, size or colour
need not be otherwise marked.
6.2.2 All mobile objects to be marked shall be coloured or display flags.
Use of colours
6.2.3 An object shall be coloured to show a chequered pattern if it has essentially unbroken surfaces and its
projection on any vertical plane equals or exceeds 4.5 m in both dimensions. The pattern shall consist of rectangles of not less
than 1.5 m and not more than 3 m on a side, the corners being of the darker colour. The colours of the pattern shall contrast
each with the other and with the background against which they will be seen. Orange and white or alternatively red and white
shall be used, except where such colours merge with the background.
6.3 Lighting of objects
Use of obstacle lights
6.3.1 The presence of objects which must be lighted, as specified in 6.1, shall be indicated by low-, medium- or
high-intensity obstacle lights, or a combination of such lights.
Note.C High-intensity obstacle lights are intended for day use as well as night use. Care is needed to ensure that
these lights do not create disconcerting dazzle. Guidance on the design, location and operation of high-intensity obstacle.
6.3.8 High-intensity obstacle lights, Type A, shall be used to indicate the presence of an object if its height above
the level of the surrounding ground exceeds 150 m and an aeronautical study indicates such lights to be essential for the
recognition of the object by day.
6.3.9 High-intensity obstacle lights, Type B, shall be used to indicate the presence of a tower supporting overhead
wires, cables, etc., where:
a) an aeronautical study indicates such lights to be essential for the recognition of the presence of wires,
cables, etc.; or
b) it has not been found practicable to install markers on the wires, cables, etc.
6.3.10 Where, in the opinion of the CAA, the use of high-intensity obstacle lights, Type A or B, or
medium-intensity obstacle lights, Type A, at night may dazzle pilots in the vicinity of an aerodrome (within approximately
10 000 m radius) or cause significant environmental concerns, a dual obstacle lighting system shall be provided. This system
shall be composed of high-intensity obstacle lights, Type A or B, or medium- intensity obstacle lights, Type A, as appropriate,
for daytime and twilight use and medium-intensity obstacle lights, Type B or C, for night-time use.
6.3.11 One or more low-, medium- or high-intensity obstacle lights shall be located as close as practicable to the top
of the object. The top lights shall be so arranged as to at least indicate the points or edges of the object highest in relation to the
obstacle limitation surface.
6.3.12 In the case of chimney or other structure of like function, the top lights shall be placed sufficiently below
the top so as to minimize contamination by smoke etc.
6.3.13 In the case of a tower or antenna structure indicated by high-intensity obstacle lights by day with an
appurtenance, such as a rod or an antenna, greater than 12 m where it is not practicable to locate a high-intensity obstacle light
on the top of the appurtenance, such a light shall be located at the highest practicable point and, if practicable, a
medium-intensity obstacle light, Type A, mounted on the top.
6.3.14 In the case of an extensive object or of a group of closely spaced objects, top lights shall be displayed at least
on the points or edges of the objects highest in relation to the obstacle limitation surface, so as to indicate the general definition
and the extent of the objects. If two or more edges are of the same height, the edge nearest the landing area shall be marked.
Where low-intensity lights are used, they shall be spaced at longitudinal intervals not exceeding 45 m. Where medium-intensity
lights are used, they shall be spaced at longitudinal intervals not exceeding 900 m.
and so on and so one descripting various light usage in intensity etc etc.