Was a hiring manager at Cisco (left recently).
Your bargaining is hitting multiple policy challenges, that the only way around would be if you have a hiring manager, their skip level, and their ops director on board to fight.
The pay structure difference of a zone 1A geography to a B geography is significant. They aren’t going to bridge it, your best bet would be if you were to take the angle of this being a promotion in RTP. If it’s a lateral, you have very little to work with here. And they have made that clear. Often we are told we can’t hire above a certain level or placement in grade cause it breaks the budge modeling. This isn’t the hiring managers choice, it’s op’s and Hr.
The relocation funds come one of two ways, directly out of the new team’s operating funds (which is the same bucket as training, lab fees, certification tests) , these were drastically reduced during Covid. Or their was a limited fund with HR that it could hit, the probably is the one in Hr was reserved for high grade, high level ppl where the ops budget couldn’t absorb that type of cost. Generally it was a lump sum of $5000 or it was a percentage of your base, which typically hit in the $2-3000 range. It wasn’t both, and it was small.
Being this is a transfer hiring bonus or signs ins are against policy.
To me, it sounds like you are already at the cap of what they are able to give within their control. Could they possibly fight to get you something more? Yes, if they had the buy in off all those other people. The ops director managing the funds for entire ops, it’s hard to get them onboard in the first place and then HR has to sign off on why you’d be getting something not offered to others (which with the LR would most likely hit legal review)
All this to say; could you fight for more? Sure you can try. But the reality is that you are asking three different roles to fight “the system” at a time when they are fighting the system daily to keep things afloat. As a hiring manager, I would have told you, I’m sorry but I can’t meet your demands: take it or I have to move on.