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-Acid Splash etc. aim at a target's Touch AC, which doesn't include actual armor, and is usually lower that the regular AC.
-Crossbows deal piering damage, which is more often resisted than acid, fire, cold or electricity would be.
-Your cantrips' damage is magical in nature, whereas a standard crossbow's damage is non-magical. Many higher-level creatures in the game resist non-magial damage.
Overall, Sorcerer is a good class, with lot of spells, good versatility if you know which spells to pick, interresting AoE DPS but... Only past level 6.
To answer you, i would say : Use crossbow at first, you have less chance to hit than with the Ranged Touch cantrips but you will deal more damage, unless you multiclass into rogue.
https://tvtropes.org/pmwiki/pmwiki.php/Main/LinearWarriorsQuadraticWizards
Demoralizing enemies for instance will cause them to be shaken for at least 1 round in a 30' radius. No save, you just need to beat a DC of 10 + level of the enemy + WIS mod of the enemy with your persuasion skill.
At low-mid level that is a no brainer. Your DC will be well below 20 most of the time an if you look at level 5, you will roughly be @ +9 bonus. Fighters usually do not have good WIS, so you will end up with a dc of 10+level, maybe 11+level. So you can start the fight by giving enemies a (non-typed) -2 on all important rolls without a save or resistance that stacks with everything (apart from another shaken status).
At the same time, you can cast the same spell much more often than a wizard, albeit at a later level. And since your demoralizing uses the same stat as your spell casting, it will scale with until midlevel.
And looking at end-game WIS scores (25+) and level 20 opponents, you will be looking at DCs between 35 and 45. Looks bad, but at that level your bonuses have skyrocketed as well. The bad news is, at high levels the -2 means nothing because demoralize cannot stack to frightened or panicked. Then again, late levels means lots of spells for the sorcerer, no more going "BOO" at the enemies. The only reason to try to stack small debuffs would be a horde of necros tossing ranged touches at you since their attack bonus sucks, every -2 helps. :)
But as it was mentioned, Sorcerers are usually used as "dip" class to reach other, "cooler" classes. They are underestimated and hit very very hard at late levels, especially with the more offensively minded bloodlines.
Sylvan Sorceror says hello :D
Let's look at a level 3 sorc and a level 3 fighter. The fighter's only resource he needs to manage are his hit points; his capacity to attack and damage remains consistant over a longer period (let's say, the "golden standard" of 4 encounters per day). The sorcerer, on the other hand, has his spell slots to manage as well. A sorcerer with no spells left is no longer contributing to a fight effectively. Of course, you could argue that a fighter without hit points would be facing the same problem, to which I would reply with "same for the sorcerer", so they're even on that field.
In any given single encounter starting at full resources? Sure, a sorc can put out the hurt better, even at lower level. But spread out over the adventuring day? Different story.
Also, we're getting off-topic :D
Magic is quadratic
Or you're trolling.
Trying.
Can we get back on topic? I believe OP wanted to know why a Sorcerer would use cantrips over a crossbow.