Relocating to Bahrain - Queries

Welcome.  As you will find out when you come here, a lot of things are not very clear and the rules around those are ambiguous or arbitrary.  This is standard Middle East

If you read the link that you posted, carefully; even LMRA has said "It is possible" i.e. they haven't said it is a done deal.   "Possibility" by definition is subject to conditions.

As a matter of practice, women are usually able to sponsor their husbands if they are working in the financial services industry or banks or are on investor visas.  In other cases, it also comes down to the level of influence, your government relations officer has in getting things through.   This is absolutely critical i.e. if you don't have a strong PRO, completely forget about it but if you do, then it is likely that you can still end up sponsoring your husband despite not being in those industries.

I know 2-3 women in a similar situation as yours who were unable to sponsor their spouses despite being at senior positions in different companies and the company then had to give their spouse a work visa.

Also, it is generally easier, if it is just the two of you.  If there are kids involved, they make a big deal about them being on the father's sponsorship.  I have seen it work though when the mother is on an investor visa and the father gives a notarised NOC or when the father is not in the Kingdom. Much more difficult to get both husband and kids on wife sponsorship.