I'd say it's better - it's not more or less straightforward, both distributive and integrative approaches are still negotiations. You need to know your BATNA anyway, whether it's leaving or sucking it up, so doing more research just puts you in a better position, no matter which route you choose. Bluffing might get you lucky, but not likely as lucky as if you can back it up, and if they call your bluff, or it doesn't work out for some other reason, you'll have less bargaining power in the future.
It's also good to keep in mind that the best deal someone else got doesn't necessarily relate to the best deal you can get - just because someone negotiated a higher salary doesn't mean you can; it's not your BATNA unless someone makes you the offer. Also, if nothing else, distributive approaches tend to leave one or both parties feeling like they lost, which will likely sour future negotiations. Taking the integrative route means that the only losers are the companies that don't get you - assuming that's in their best interest (which it might not be, if they have a better BATNA than matching your BATNA).
Also, if the amount of effort and time that the negotiation takes is amongst your interests, then that's really on the negotiation table too (regardless of approach), it just means that you'll be negotiating away other things, like your salary, in order to satisfy that interest.