Tier 2 Big City vs Tier 1 Outskirts

A quick question to those with the right knowledge.

After a 1.5 years in Tier 1 IB London (post-mba hire), looking for a switch into consulting for a number of reasons. Two options on the table: Tier 2 consulting in London vs Tier 1 in a satellite office. Staffing model for satellite would be regional, thus limited to zero exposure on the global scale + less diverse travel vs the one would assume covering clients from London. Career wise willing to get more exposure to the business from all angles, wrap it with ib experience and end-up in the mid-to-large industry name or mid-focused pe shop, ideally in europe but could also be NAM.

Another point to consider between the two is would they both equally give the recognition on a global scale? is MBB a no brainer here despite the region or does the region (e.g London, NY, HK) gives more weight to experience than the gap between tier 1 and 2.

Comments & recommendations are highly appreciated.
Thx!