Well, I've seen almost every type of outdoor light fixture used in parking lots over the years. From residential grade incandescent to full blown 1kW MH floods, through decorative Holophane and the like, ballast-in-arm, all types of cobra heads, shoeboxes, etc. in all technologies (well maybe not carbon arc, but...
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I believe most parking lot decision makers don't really care what the outcome looks like, just so long as it works. They ask contractors to supply suitable lighting, and the contractor works out the lowest cost. Sometimes they reuse existing wood poles (especially private lots) and they find suitable fixtures to install. Electrical counters can get any fixture you want, be it shoe boxes or streetlights.
When I bought my Cooper Vanguard, it was a regular stock item. They had to "special order" it from one of their other locations because the mercury vapour ones were getting sold out. If I wanted HPS, it would have been in stock right there.