@Hortondon , not knowing the circumstances I'm not judging your particular case here, but just for the sake of posterity reading this, being bent without the need for hyperbaric oxygen therapy is a statement that can only be made after the final outcome is known. The gold standard for treating decompression illness is HBO2, and the determination not to treat should only be made by a qualified medical professional.
All that said, it looks like there have been some very reasonable answers to your questions here. I don't know of any research out there that directly compares the benefit (whatever that benefit may be) of breathing O2 at your safety stop vs breathing it during your surface interval, so I think it would be a personal choice. If you want to do it under water, I'd highly recommend taking the appropriate training first. Breathing it during your surface interval would speed off-gassing but the time/dose effect would be difficult to quantify and I would certainly not use it as a reason to dive more aggressively on the second dive. I think that the risk of O2 toxicity from this would be negligible with the diving that you're describing.
Best regards,
DDM