Hey there mate.
A question I believe I can answer.
So bioware is affected by HMHV by lowering it's rating by one. If the bioware does not have a rating or is reduced to zero then the bioware disappears. Consumed by the HMHV.
This is in Run Faster.
So if an individual had a pain editor and a mnemonic enhancer R1, and then became infected, the pain editor would be consumed as it has no rating, and the mnemonic enhancer would also disappear as it's rating is reduced to zero. Had the mnemonic enhancer been rating 2, it would be reduced to rating 1.
To the question of if 'non regen' infected can 'start' with bioware, yes they can. To clarify, the regeneration power only amps up the requirements for bioware and cyberware, making it only delta that can be accepted. Otherwise the detriment to bioware is the same regardless if you have the regeneration power or not.
I hope that answered your question.
To summarise.
1) Can non-regen infected start with bioware: Yes
2) Bioware is reduced by one rating, regardless of regeneration or not