The ballast on a CFL is what generates the majority of the heat. Fewer higher wattage CFL bulbs would output much less heat than a HID of equivalent real wattage(and including the HID ballast, of course). A bunch of smaller CFLs, each self-ballasted would produce as much, or even possibly more heat than equivalent HID. The higher wattage bulbs have a wider diameter(the glass tube), and the bulb itself is actually cooler than the smaller wattage(also smaller tube diameter) bulbs. Then again, the bulb's manufacturer and color temperature is also fairly critical. I have some 42 watt 6500k bulbs from Feit that operate cooler(overall) than these 'house brand' 26w 2700k bulbs that were really cheap.
And the larger linear tube fluoros(T8/T12) run so cool the plants can touch the bulb without any injury, but the ballasts get somewhat warm. T8's still offer nearly 90 lm/W, and come in plant-specific spectra. Oh, and are a hell of a lot cheaper than T5s.
HID generate tons of IR radiance, fluoros don't. Fluoros generate UV light which excite phosphor coatings which then fluoresce and emit specific frequencies of visible light. A HID(HPS), on the other hand, is basically an improved incandescent bulb, which creates a plasma arc of up to around 1100C(MH is slightly less), which then radiants brilliantly. The surface of the bulb can reach several hundred degrees(well beyond boiling point of water). They don't utilize power or release it anywhere near similarly(a MH is the closest to 'bridging' these technologies, which often utilizes mercury vapors with metal halides, as a MH is basically an improved version of a MV). So no, watts in does not mean watts out. Even MH run slightly cooler than HPS simply due to the spectra of radiance they emit. Less IR, more UV -which can be harmful to humans, but great for trichrome production.
Fluoros(agro/hort HO t5/t8, Gro-Lux, for instance) achieve about 140% of HPS's efficiency maximally(PPF). These fluoros use special phosphors and ion treatment which maximize light output that's plant-usable(PUR/PAR). As a result lumen output drops significantly! Most CFLS are around 65-75% of HPS (again PPF, not lumens! PURple CFLs would be approaching 130-140%).
I've read numerous stories of growers switching to 216W T5 panels(up to 91-92 lm/W) from 175-250W HID, and reporting vastly decreased temperatures(around 5-10 degrees). Plants can basically touch these T5's without being damaged, though an inch or two is the suggested minimum.
These 'high tech'(they've been around for decades) plant fluoros produce as little as half the lumens but a higher level of plant usable radiation(PUR/PAR, measured as PPF) than HID, watt for watt. HID still has vastly better 'penetration'/throw, meaning it has a much wider/further/larger volume(or radiant flux, or photosynthetic photon flux/PPF). Consequently they have a much larger unusable area due to excessive radiant heat near the bulb. Or simply: if you want big, tall, denser plants, HID is the best, simplest solution(400W or better, ideally). If you grow smaller plants, a few feet tops, fluoros are more than adequate, and probably the best, simplest solution.
Also note, doubling your light output will almost always(after a certain point, well below the output of a single 13w CFL) not even get close to doubling your harvest. As the light amount increases the distance between total biomass and total flower/fruit mass increases(meaning less and less bud, and more 'undesired' stem/leaf). And even the total biomass doesn't even nearly double. It's a game of diminishing returns. CO2 supplement and 'advanced' nutrients(either the brand or just any high quality nutrients) will provide better results than simply adding more light.