You are right, it could, but bullets of the same weight using the same construction (lead core, copper jacket) will have roughly the same overall density and thus roughly the same length assuming the diameter is the same. If you seat to the listed OAL it should leave roughly the same amount of empty space inside the case. At starting loads (any starting loads really) the pressure is quite a bit below the max rated pressure for a cartridge so if there is a little less room, it wont be dangerous. Start at the starting load and work up. If one book has a starting load below the other you can choose one or the other. Personally, I tended to go with the lower one when I was first starting as I was cautious. If you are really worried you can also reduce the starting load even lower. Knocking off 10% is always perfectly safe except for loads that are already really low velocity (below 800-900fps) or black powder loads.
The Alliant site says 19.0gr as a load and don't list starting or max. This is an older way of showing load data where only the max is listed. Take 10% off of that and you have a starting load. Minimum OAL is shown as 1.665". That will usually get you to the cannalure for crimping but you can adjust and test if your bullets have the cannalure in a different place.
Firearms don't explode when they go 1psi above the max rated pressure. Most decent manufacturers proof test their firearms before shipping to 125% to 160% maximum pressure. You don't want to shoot at these pressure levels if you can avoid it but if you accidentally load one round a little hot, maybe 5-10% hot, it wont blow anything up. If one round has a really weird result (sounds extra loud, stiff to extract, quite a bit higher fps than predicted if using a chronograph, etc.) stop shooting that load.