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Working from memory
More DPS at close/mid range. JLI get more DPS at mid/long range. Carbine vs Kars
Path gets 2 carbines with 40% crit. JLI get's one with 75/80% crit. If it's 80% then it just need 1 hit from Kar to crit.
0.8 vs 1.0 receive accuracy. Because of this, Pathfinders are way more support unless you give them double bars AND they get vet.
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Since adding the critical makes calculation more difficult (and really has to do allot on how many entities fire on the same entity and the thus the target squad size)with out it:
Pathfinders
m1a1_carbine_paratrooper_mp 9.99 9.17 6.26 4.48 3.28 2.61 2.19 1.83
pathfinder_m1garand_scope_mp 1.82 2.02 2.20 2.38 2.55 2.71 3.34 3.91
totatl 2+2 23.63 22.38 16.93 13.72 11.66 10.64 11.06 11.48
JLIRS
grenadier_kar_98k_rifle_mp 5.76 5.07 4.37 3.82 3.37 3.00 2.60 2.26
jaeger_light_recon_g43 2.19 2.33 2.47 2.59 2.70 2.80 2.77 2.53
total 3+1 19.48 17.56 15.59 14.05 12.81 11.80 10.56 9.32
Pathfinder have more DPS at all ranges.
Vet bonus up to vet 3
Pathfinders
+10% sight range
-20% weapon cooldown, -29% received accuracy
+14% weapon range, +20% weapon accuracy, camouflage stays shortly after leaving
Jaeger Light Infantry Recon Squad
Unlocks the 'Field First Aid' ability
-29% received accuracy, passive cloak
+40% accuracy
By vet 2 Pathfinder weapon fire faster thus generate critical faster and by vet 3 they have more range. JLIRS are tougher and get better accuracy bonus by vet 3 but they do not actually have any significant advantage over Pathfinder.
As for a place in game Pathfinder are great for spotting for mortars, great at sniping model once the mortar hits and can even be used for sneak attack against vehicles if upgraded with bazookas.
On the other hand since riflemen are so cost efficient as other doctrinal infantry Pathfinder seem pale in comparison.
Once more in the current state the squad are about equal.