Surprisingly wraparounds are as old as fluorescent lighting itself, with some early wraparound like designs with glass or acrylic diffusers introduced in the late 30s and early 40s. The progression was probably natural from the very early bare lamp fixtures, most people probably thought the bare tubes to be unsightly in more finished spaces early on, so luminaire designs naturally included ones that incorporated more decorative panels of glass or translucent plastic to conceal the lamps.
The ornamental ceiling trough is a example of a early wraparound style luminaire, with a glass U shaped diffuser around the lamps.
Day-Brite's Day Lume is another early example, dating to 1941. The inner chassis appears to be based of that of a half piper which was all the rage at the time. This is a example of a early wraparound with a plastic diffuser instead of glass.
The Kingsway is another early example, although looking more like a half piper with a diffuser than a modern wraparound.
another example with glass panels. Interestingly the early troffers also came out not too much later, early troffers were typically narrow like modern 1x4 troffers but the concept is very similar. Louvered fixtures actually came out later in the mid late 40s as a response to the harmful effects of glare and a desire to have a luminaire design with more glare control and also a direct/indirect light distribution design.
Striplights were also there from pretty much the beginning as the design is pretty bare bones, basically a sheet metal enclosure for the electrical components and a lamp mounted on it. Industrials was a improvement to have better control of the light distribution by adding reflectors of various shapes to accomplish a specific beam pattern and the later turret industrial was basically a heavy duty version that resisted shock and vibration better with spring loaded lampholders.
I assume half pipers was probably a adaptation of the strip light as well, more light output was needed so more lamps were used and there was a attempt at trying to make the luminaire look less utilitarian so decorative end caps were added.