Your doctor should've never put you on TRT right away without trying other options first. TRT should always be the last resort because of the negatives it can cause. That was a grave error on his/her part. Sadly, not many are on the up and up with research and studies. Same way most of them aren't aware of PFS in spite of the mountain of studies already available.
It's not the Allopregnanolone solely that's the problem. In PFS, it's different. It's receptors, neurosteroids, neurotransmitters, neuroendocrine non-sex hormones (acth, gh, igf-1, igfbp-3, prolactin, etc.), disrupted methylation cycles (possibly from the cholinergic system), amino acid production disruption, altered gut bacteria populations (responsible for a plethora of neurotransmitters), and so much more.
With the Allopregnanolone, even though you went on TRT and suppressed Progesterone, some is still made in the brain at the tissue site from the P450 enzyme cascade that exists there. Enzymes that produce hormones are throughout the body constantly converting and making hormones. The brain, the skin, internal organs. Everything. The testes simply give you a major boost up on two hormones out of dozens of others for muscle/strength, reproductive, and performance purposes. You still would have Allo in the brain. Just not as much. It's suppressed.
Also, yes. Anything possible. You won't know until you try.