The lifespan of an OE-type HID bulb is long enough that you won't significantly reduce the practical service life of the bulbs by operating them day and night. The bulbs do lose output with use, so you will hasten that lumen drop and want to replace the bulbs a year or two earlier than otherwise to restore full nighttime seeing power. But full low beam headlamps (halogen or HID), while legal as DRLs, aren't good ones. They consume way too much power for the benefit they return, and having the taillamps on during the day reduces the contrast of the brake lamps, thus reducing their conspicuity. You may want to throw a
turn signal DRL module on the car and use the headlamps as...headlamps.
You are confused. The original poster is asking about daytime use of his car's factory HID headlamps. Therefore, your mention of one of the
many technical problems with installing an "HID kit" into halogen headlamps really isn't relevant. Not only that, but OE HID ballasts are perfectly happy to operate with primary (input) voltage of between about 9 and 16 volts, so even if reduced voltage were to enter the picture--which, again, in the original poster's situation it does not--there would be no issue with it.
There is no factual basis for that meaningless "4x more visible" figure. Fact is, the potential safety benefit from well-implemented DRLs is real, but it is small. Poorly-implemented DRLs (a category which includes most headlamp-based setups) create safety problems that reduce, eliminate, or reverse the safety benefit.