I've shot a good number of deer with each of these three bullets and would recommend them in the order listed:
1) Yew Tree 148 TLR - An excellent bullet and the ones I am using now, it has proven very effective at knocking reds down on the spot at 'extended' ranges, even when they have been very alert. The quality of the bullets being lathe turned makes them exceptionally accurate, with a good BC to compliment it, making the further shots much easier to call wind on.
Disadvantages: On smaller roe, even with exceptional shot placement I have found the shock can burst the rumen despite the diaphragm still being intact.
2) Barnes 150 TTSX - A very good bullet in the .300 Mag for UK deer. Damage is acceptable even on roe at closer ranges, but still has the ability to knock over reds well at 300-400M. At 'extended' ranges this bullet will drop out of it's performance window (depending on MV 400-450M).
Disadvantages: Barnes quality control has in my opinion suffered over the past few years, with batch to batch variation being very noticable, taking what was for me a 0.25-0.5MOA load to 0.75-1MOA upon change of batch. Further to this I have found pushing these bullets faster than 3200-3250FPS can lead to seeing the petals shearing at closer range, giving erratic wound channels with petal tracts travelling perpendicular to the bullet tract, which caused a few messier carcasses.
3) Barnes 175 LRX - An okay bullet for the .300 Mag. On reds this bullet worked very well, with good internal damage seen, dropping most of the deer shot where they stood. On roe I found they weren't opening up until 4-5" into the deer, causing less internal damage than I would have liked, while most dropped on the spot I did get a few runners where I haven't with the other two options. They exhibit similar performance at range to the 150 TTSX, with their performance dropping off as ranges get more extended (depending on MV 400-450M).
Disadvantages: Barnes Quality control issues were also experienced while using this bullet, with batch to batch variation being seen. Performance on roe was less than ideal in my opinion, with one lobe of the lung regularly remaining largely undamaged and the damage occurring further into the chest cavity.
Conclusion:
I would use any of these bullets again if they were all I could obtain. None are a bad choice, however I do feel for reds the TLRs have a significant advantage, particularly if ranges are likely to be 'extended'.
If you would like photographs of what damage to expect from each design on different species please let me know and I would be happy to provide examples.
Ben