The way the modulation and radio work on LR it can lead to lower transmission power required, which would equal lower battery usage. But it is 100% application dependent.
No guarantee it would be lower, and no "rule of thumb" to say it would always be lower either.
I'll do similar power testing as shown below on some of the Zooz 800LR battery operated devices once LR is officially released on Hubitat. But even then the results will still be application dependent, but may be interesting to see anyway.