1000-watt HPS bulbs normally run between 130,00 to 145,000 initial lumens so yes the DualArc 1000-watt bulbs 110,000 initial lumens is lower but what you are gaining is a broader light spectrum and the thread starters question was about getting/using a broader light spectrum, not about maximum initial lumens.
I have not noticed what wattage lighting he or she is running but I did offer a viable option for getting a broader light spectrum range, if that is the lighting being used is one where a DualArc bulb is available, meaning 600-watts or 1000-watts.
The lower initial lumen rating does make sense though. Even though your are burning 1000 total watts you are actually burning one separate 600-watt bulb and one separate 400-watt bulb both inside one tube and not a single 1000-watt HPS bulb. You have to expect some reduction in initial lumens
It is a case of giving up something to gain something else and each person has to decide for themselves if the trade-off is worth it to them and to them alone and not if it would be worth it to anyone else. For some it will be well worth it and for others it will not be.
If what is wanted is a broader more balanced spectrum of light a DualArc bulb can be a better option than switching back and forth between bulbs, each delivering a more limited spectrum of light during their periods of use.
An example of one such bulb in 1000-watts:
UltraGrow MegaLux Dual Arc 1000 Watt Hydroponic Grow Bulb
The PlantMax 1000 Watt Dual Arc Tube Bulb incorporates both a 400 Watt Metal Halide arc tube and a 600 Watt High Pressure Sodium arc tube in a single lamp giving the grower the most balanced light spectrum available from any bulb. This PlantMax grow bulb runs on a 1000 Watt HPS ballast and emits 110,000 Lumens.
UltraGrow MegaLux Dual Arc 1000 Watt Specifications:
Wattage: 1,000 Watts
Base: E39 Mogul Base (39mm Diameter)
Initial Lumens: 110,000lm
ANSI: S52
Color Temperature: 3,000 Kelvin
Bulb Shape: ET25
Case Quantities: 12 Bulbs Per Case
Average Life Hours: 10,000 Hours