Given that glacing a vehicle to death with high RoF weapons is generally better and easier than penning it, then yes, Tank hunter is better than +1 str as it's also more reliable and more importantly, with 4x autocannons, you're likely to drop an AV12 target in 1 round while if you were str8, you'd leave it standing more often than not (~3 hp with tank hunter vs ~2.5 with +1 str) while the difference against AV13 is minimal as it's going to take 2 rounds of fire (or 2 units) the vast majority of the time (~1.6 with tank hunter vs ~1.7 with +1 str).
For actual % improvements:
AV10 - +6.67%
AV11 - +12.5%
AV12 - +11.11%
AV13 - -8.33%
AV14 - N/A
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