Wow, lots of great talk here, but I think we're still perpetuating some older/incorrect ideas...
Nitrous, Blowers, Turbos all make torque... in fact all engines make torque. HP is nothing more than a calculated number based off torque output and engine RPM and is only used to pretend-measure cock size and sell vehicles.
Become one with the force. Clear your mind of all HP emotion, and focus on 2 things:
1. Area under the torque curve within your usable RPM range
2. torque multiplication (aka gearing, both rear differential and transmission)
Those two will tell you everything you need to know about who's going to win a race
But back to turbo vs. blower... both of them 'spool' up to operating output pressure but what you refer to as lag is primarily seen only in a turbo setup because of how the two setup operate
A blower is directly driven by the engine RPMs via belt drive (most common), while the turbo relies on exhaust flow to spin the turbine side impeller that then drives the compressor side impeller. Both systems require a mechanism to regulate the maximum boost levels generated within the intake manifold.
A turbo typically has a wastegate that bleeds or bypasses exhaust gases from the turbine side impeller which limits the amount of compressed air generated by the compressor side impeller. This is where your lag for a turbo exists; from the time you crack open the throttle, to the time the wastegate starts dumping exhaust is how long the lag is to reach full boost. This is affected by size of the turbo, desired boost level, amount of exhaust flow (think engine displacement), the weight of the internal turbo components, and a couple other smaller factors.
Believe it or not, a blower's most common mechanism for limiting intake manifold boost levels is to adjust the pulley/gearing sizes such that at maximum engine RPM, the blower is making your max boost levels. Effectively once it starts making positive pressure, it's always still 'spooling' up to max intake pressure. There are some fine tuning details in compressor design/style/sizing that can help flatten out the pressure levels through the RPM range, but ultimately your 'max boost level' will be @ peak engine RPM.
Because of these differences in behavior, there are very drastic differences seen in the torque curves. A blower setup will have a nice smooth, gradual torque curve that generally mimics the torque curve of the same motor without boost, just at a higher output level. There are some minor differences before boost is being made, but those are usually inconsequential.
A turbo setup torque curve will jump tremendously during the spooling RPMs, but once fully spooled will be relatively smooth. Depending on the boost level targeted and the engine setup, the torque curve may be very smooth and remain high, or it may drop off as engine RPM increases. These factors are entirely determined by the turbo and engine pairing and setup.
Always keep in mind that turbo lag will be more of a factor with the higher boost levels desired. If you're planning to run low boost (4-5 psi), you'll likely never even notice the lag time if you pick the right turbo.
Personally, I would go with a turbo setup over a blower on any daily driven vehicle, but that's just personal preference. My reasoning for this is that IMO turbos are more easily tweaked/tuned and require less parasitic loss in order to drive them.